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40874256 = 24321759283
BaseRepresentation
bin1001101111101…
…1000100010000
32211220121221100
42123323010100
540430434011
64020024400
71004265633
oct233730420
984817840
1040874256
1121088485
1211832100
138611767
1455ddc1a
1538c5d56
hex26fb110

40874256 has 120 divisors (see below), whose sum is σ = 123608160. Its totient is φ = 12561408.

The previous prime is 40874179. The next prime is 40874261. The reversal of 40874256 is 65247804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40874256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144291 + ... + 144573.

It is an arithmetic number, because the mean of its divisors is an integer number (1030068).

Almost surely, 240874256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40874256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61804080).

40874256 is an abundant number, since it is smaller than the sum of its proper divisors (82733904).

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

40874256 is a wasteful number, since it uses less digits than its factorization.

40874256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 40874256 is about 6393.2977406030. The cubic root of 40874256 is about 344.4688487122.

The spelling of 40874256 in words is "forty million, eight hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 59 68 72 102 118 136 144 153 177 204 236 272 283 306 354 408 472 531 566 612 708 816 849 944 1003 1062 1132 1224 1416 1698 2006 2124 2264 2448 2547 2832 3009 3396 4012 4248 4528 4811 5094 6018 6792 8024 8496 9027 9622 10188 12036 13584 14433 16048 16697 18054 19244 20376 24072 28866 33394 36108 38488 40752 43299 48144 50091 57732 66788 72216 76976 86598 100182 115464 133576 144432 150273 173196 200364 230928 267152 283849 300546 346392 400728 567698 601092 692784 801456 851547 1135396 1202184 1703094 2270792 2404368 2554641 3406188 4541584 5109282 6812376 10218564 13624752 20437128 40874256