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76904256 = 26311132801
BaseRepresentation
bin1001001010101…
…11011101000000
312100201010210210
410211113131000
5124141414011
611344154120
71622450442
oct445273500
9170633723
1076904256
113a457340
1221908940
1312c182a0
14a2dc492
156b416a6
hex4957740

76904256 has 112 divisors (see below), whose sum is σ = 239133888. Its totient is φ = 21504000.

The previous prime is 76904239. The next prime is 76904257. The reversal of 76904256 is 65240967.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76904257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26056 + ... + 28856.

It is an arithmetic number, because the mean of its divisors is an integer number (2135124).

Almost surely, 276904256 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 76904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119566944).

76904256 is an abundant number, since it is smaller than the sum of its proper divisors (162229632).

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

76904256 is a wasteful number, since it uses less digits than its factorization.

76904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 76904256 is about 8769.5071697331. The cubic root of 76904256 is about 425.2556819053.

The spelling of 76904256 in words is "seventy-six million, nine hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 2801 3432 4576 5602 6864 8403 9152 11204 13728 16806 22408 27456 30811 33612 36413 44816 61622 67224 72826 89632 92433 109239 123244 134448 145652 179264 184866 218478 246488 268896 291304 369732 400543 436956 492976 537792 582608 739464 801086 873912 985952 1165216 1201629 1478928 1602172 1747824 1971904 2330432 2403258 2957856 3204344 3495648 4806516 5915712 6408688 6991296 9613032 12817376 19226064 25634752 38452128 76904256