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76381056 = 273453139
BaseRepresentation
bin1001000110101…
…11101110000000
312022201120010000
410203113232000
5124023143211
611325040000
71615141203
oct443275600
9168646100
1076381056
113a12a244
12216b6000
1312a940bb
14a20393a
156a8b656
hex48d7b80

76381056 has 160 divisors (see below), whose sum is σ = 233263800. Its totient is φ = 24800256.

The previous prime is 76381033. The next prime is 76381069. The reversal of 76381056 is 65018367.

76381056 is a `hidden beast` number, since 7 + 638 + 10 + 5 + 6 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 76381056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549435 + ... + 549573.

Almost surely, 276381056 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 76381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116631900).

76381056 is an abundant number, since it is smaller than the sum of its proper divisors (156882744).

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

76381056 is a wasteful number, since it uses less digits than its factorization.

76381056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76381056 is about 8739.6256212723. The cubic root of 76381056 is about 424.2891109965.

The spelling of 76381056 in words is "seventy-six million, three hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 139 144 159 162 192 212 216 278 288 318 324 384 417 424 432 477 556 576 636 648 834 848 864 954 1112 1152 1251 1272 1296 1431 1668 1696 1728 1908 2224 2502 2544 2592 2862 3336 3392 3456 3753 3816 4293 4448 5004 5088 5184 5724 6672 6784 7367 7506 7632 8586 8896 10008 10176 10368 11259 11448 13344 14734 15012 15264 17172 17792 20016 20352 22101 22518 22896 26688 29468 30024 30528 34344 40032 44202 45036 45792 53376 58936 60048 61056 66303 68688 80064 88404 90072 91584 117872 120096 132606 137376 160128 176808 180144 183168 198909 235744 240192 265212 274752 353616 360288 397818 471488 480384 530424 549504 596727 707232 720576 795636 942976 1060848 1193454 1414464 1441152 1591272 2121696 2386908 2828928 3182544 4243392 4773816 6365088 8486784 9547632 12730176 19095264 25460352 38190528 76381056