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4553043440 = 2451141532381
BaseRepresentation
bin1000011110110000…
…11110110111110000
3102202022100120102112
410033120132313300
533311034342230
62031443304452
7220554142061
oct41730366760
912668316375
104553043440
111a2708aa20
12a7097b128
1357738925a
14312996568
151b9ab9d95
hex10f61edf0

4553043440 has 160 divisors (see below), whose sum is σ = 12058103232. Its totient is φ = 1584128000.

The previous prime is 4553043431. The next prime is 4553043457. The reversal of 4553043440 is 443403554.

It is a junction number, because it is equal to n+sod(n) for n = 4553043397 and 4553043406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1911050 + ... + 1913430.

Almost surely, 24553043440 is an apocalyptic number.

4553043440 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 4553043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029051616).

4553043440 is an abundant number, since it is smaller than the sum of its proper divisors (7505059792).

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

4553043440 is a wasteful number, since it uses less digits than its factorization.

4553043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 4553043440 is about 67476.2435231838. The cubic root of 4553043440 is about 1657.4251755286.

Adding to 4553043440 its reverse (443403554), we get a palindrome (4996446994).

The spelling of 4553043440 in words is "four billion, five hundred fifty-three million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 53 55 80 82 88 106 110 164 176 205 212 220 265 328 410 424 440 451 530 583 656 820 848 880 902 1060 1166 1640 1804 2120 2173 2255 2332 2381 2915 3280 3608 4240 4346 4510 4664 4762 5830 7216 8692 9020 9328 9524 10865 11660 11905 17384 18040 19048 21730 23320 23810 23903 26191 34768 36080 38096 43460 46640 47620 47806 52382 86920 95240 95612 97621 104764 119515 126193 130955 173840 190480 191224 195242 209528 239030 252386 261910 382448 390484 419056 478060 488105 504772 523820 630965 780968 956120 976210 1009544 1047640 1073831 1261930 1388123 1561936 1912240 1952420 2019088 2095280 2147662 2523860 2776246 3904840 4295324 5047720 5173913 5369155 5552492 6940615 7809680 8590648 10095440 10347826 10738310 11104984 13881230 17181296 20695652 21476620 22209968 25869565 27762460 41391304 42953240 51739130 55524920 56913043 82782608 85906480 103478260 111049840 113826086 206956520 227652172 284565215 413913040 455304344 569130430 910608688 1138260860 2276521720 4553043440