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76904288 = 2529791049
BaseRepresentation
bin1001001010101…
…11011101100000
312100201010211222
410211113131200
5124141414123
611344154212
71622450516
oct445273540
9170633758
1076904288
113a45736a
1221908968
1312c182c6
14a2dc4b6
156b416c8
hex4957760

76904288 has 48 divisors (see below), whose sum is σ = 158760000. Its totient is φ = 36621312.

The previous prime is 76904287. The next prime is 76904293. The reversal of 76904288 is 88240967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76904281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72788 + ... + 73836.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 276904288 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 76904288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380000).

76904288 is an abundant number, since it is smaller than the sum of its proper divisors (81855712).

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

76904288 is a wasteful number, since it uses less digits than its factorization.

76904288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 76904288 is about 8769.5089942368. The cubic root of 76904288 is about 425.2557408885.

The spelling of 76904288 in words is "seventy-six million, nine hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 79 116 158 232 316 464 632 928 1049 1264 2098 2291 2528 4196 4582 8392 9164 16784 18328 30421 33568 36656 60842 73312 82871 121684 165742 243368 331484 486736 662968 973472 1325936 2403259 2651872 4806518 9613036 19226072 38452144 76904288