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4052540240 = 245717894783
BaseRepresentation
bin1111000110001100…
…1101101101010000
3101110102120101002222
43301203031231100
531244422241430
61510044000212
7202266011060
oct36143155520
911412511088
104052540240
11179a60a511
12951230068
134c7789108
142a630d3a0
1518aba29e5
hexf18cdb50

4052540240 has 160 divisors (see below), whose sum is σ = 11532119040. Its totient is φ = 1292746752.

The previous prime is 4052540231. The next prime is 4052540249. The reversal of 4052540240 is 420452504.

4052540240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4052540231) and next prime (4052540249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052540249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844889 + ... + 849671.

It is an arithmetic number, because the mean of its divisors is an integer number (72075744).

Almost surely, 24052540240 is an apocalyptic number.

4052540240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766059520).

4052540240 is an abundant number, since it is smaller than the sum of its proper divisors (7479578800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4052540240 is a wasteful number, since it uses less digits than its factorization.

4052540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4052540240 is about 63659.5651885873. The cubic root of 4052540240 is about 1594.3210443451.

Adding to 4052540240 its reverse (420452504), we get a palindrome (4472992744).

The spelling of 4052540240 in words is "four billion, fifty-two million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 89 112 119 136 140 170 178 238 272 280 340 356 445 476 560 595 623 680 712 890 952 1190 1246 1360 1424 1513 1780 1904 2380 2492 3026 3115 3560 4760 4783 4984 6052 6230 7120 7565 9520 9566 9968 10591 12104 12460 15130 19132 21182 23915 24208 24920 30260 33481 38264 42364 47830 49840 52955 60520 66962 76528 81311 84728 95660 105910 121040 133924 162622 167405 169456 191320 211820 267848 325244 334810 382640 406555 423640 425687 535696 569177 650488 669620 813110 847280 851374 1138354 1300976 1339240 1626220 1702748 2128435 2276708 2678480 2845885 2979809 3252440 3405496 4256870 4553416 5691770 5959618 6504880 6810992 7236679 8513740 9106832 11383540 11919236 14473358 14899045 17027480 22767080 23838472 28946716 29798090 34054960 36183395 45534160 47676944 50656753 57893432 59596180 72366790 101313506 115786864 119192360 144733580 202627012 238384720 253283765 289467160 405254024 506567530 578934320 810508048 1013135060 2026270120 4052540240