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40749240 = 23357139349
BaseRepresentation
bin1001101101110…
…0100010111000
32211200021110010
42123130202320
540412433430
64013221520
71003235310
oct233344270
984607403
1040749240
1121002564
12117918a0
13859989c
1455aa440
15389dcb0
hex26dc8b8

40749240 has 128 divisors (see below), whose sum is σ = 141120000. Its totient is φ = 9220608.

The previous prime is 40749239. The next prime is 40749259. The reversal of 40749240 is 4294704.

40749240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×407492403 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40749198 and 40749207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116586 + ... + 116934.

It is an arithmetic number, because the mean of its divisors is an integer number (1102500).

Almost surely, 240749240 is an apocalyptic number.

40749240 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 40749240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560000).

40749240 is an abundant number, since it is smaller than the sum of its proper divisors (100370760).

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

40749240 is a wasteful number, since it uses less digits than its factorization.

40749240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 40749240 is about 6383.5131393301. The cubic root of 40749240 is about 344.1172981996.

The spelling of 40749240 in words is "forty million, seven hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 139 140 168 210 278 280 349 417 420 556 695 698 834 840 973 1047 1112 1390 1396 1668 1745 1946 2085 2094 2443 2780 2792 2919 3336 3490 3892 4170 4188 4865 4886 5235 5560 5838 6980 7329 7784 8340 8376 9730 9772 10470 11676 12215 13960 14595 14658 16680 19460 19544 20940 23352 24430 29190 29316 36645 38920 41880 48511 48860 58380 58632 73290 97022 97720 116760 145533 146580 194044 242555 291066 293160 339577 388088 485110 582132 679154 727665 970220 1018731 1164264 1358308 1455330 1697885 1940440 2037462 2716616 2910660 3395770 4074924 5093655 5821320 6791540 8149848 10187310 13583080 20374620 40749240