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76904955 = 32529311901
BaseRepresentation
bin1001001010101…
…11100111111011
312100201011202200
410211113213323
5124141424310
611344201243
71622452461
oct445274773
9170634680
1076904955
113a457916
1221909223
1312c186ba
14a2dc831
156b419c0
hex49579fb

76904955 has 48 divisors (see below), whose sum is σ = 142421760. Its totient is φ = 38304000.

The previous prime is 76904953. The next prime is 76904969. The reversal of 76904955 is 55940967.

It is a happy number.

76904955 is a `hidden beast` number, since 76 + 90 + 495 + 5 = 666.

It is not a de Polignac number, because 76904955 - 21 = 76904953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 76904955.

It is not an unprimeable number, because it can be changed into a prime (76904953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39505 + ... + 41405.

It is an arithmetic number, because the mean of its divisors is an integer number (2967120).

Almost surely, 276904955 is an apocalyptic number.

76904955 is a deficient number, since it is larger than the sum of its proper divisors (65516805).

76904955 is a wasteful number, since it uses less digits than its factorization.

76904955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 76904955 is about 8769.5470236495. The cubic root of 76904955 is about 425.2569703160.

The spelling of 76904955 in words is "seventy-six million, nine hundred four thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 15 29 31 45 87 93 145 155 261 279 435 465 899 1305 1395 1901 2697 4495 5703 8091 9505 13485 17109 28515 40455 55129 58931 85545 165387 176793 275645 294655 496161 530379 826935 883965 1708999 2480805 2651895 5126997 8544995 15380991 25634985 76904955