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76422564 = 2232312472
BaseRepresentation
bin1001000111000…
…01110110100100
312022210200001100
410203201312210
5124031010224
611330000100
71615403211
oct443416644
9168720040
1076422564
113a158449
1221716030
1312aa9c6a
14a214b08
156a98ac9
hex48e1da4

76422564 has 81 divisors (see below), whose sum is σ = 203949291. Its totient is φ = 24127920.

The previous prime is 76422557. The next prime is 76422581. The reversal of 76422564 is 46522467.

The square root of 76422564 is 8742.

It is a perfect power (a square), and thus also a powerful number.

76422564 is a `hidden beast` number, since 7 + 642 + 2 + 5 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1625989 + ... + 1626035.

Almost surely, 276422564 is an apocalyptic number.

76422564 is the 8742-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76422564

76422564 is an abundant number, since it is smaller than the sum of its proper divisors (127526727).

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

76422564 is a wasteful number, since it uses less digits than its factorization.

76422564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The cubic root of 76422564 is about 424.3659546717.

Multiplying 76422564 by its sum of digits (36), we get a square (2751212304 = 524522).

76422564 divided by its sum of digits (36) gives a square (2122849 = 14572).

The spelling of 76422564 in words is "seventy-six million, four hundred twenty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 961 1116 1457 1692 1922 2209 2883 2914 3844 4371 4418 5766 5828 6627 8649 8742 8836 11532 13113 13254 17298 17484 19881 26226 26508 34596 39762 45167 52452 68479 79524 90334 135501 136958 180668 205437 271002 273916 406503 410874 542004 616311 813006 821748 1232622 1626012 2122849 2465244 4245698 6368547 8491396 12737094 19105641 25474188 38211282 76422564