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76148268 = 22372393793
BaseRepresentation
bin1001000100111…
…10111000101100
312022021201210020
410202132320230
5123443221033
611320042140
71613151420
oct442367054
9168251706
1076148268
1139a90359
1221603350
1312a12161
14a182b80
156a426b3
hex489ee2c

76148268 has 48 divisors (see below), whose sum is σ = 203965440. Its totient is φ = 21659904.

The previous prime is 76148263. The next prime is 76148269. The reversal of 76148268 is 86284167.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (76148263) 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 15 ways as a sum of consecutive naturals, for example, 18180 + ... + 21972.

It is an arithmetic number, because the mean of its divisors is an integer number (4249280).

Almost surely, 276148268 is an apocalyptic number.

It is an amenable number.

76148268 is an abundant number, since it is smaller than the sum of its proper divisors (127817172).

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

76148268 is a wasteful number, since it uses less digits than its factorization.

76148268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4044 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 76148268 is about 8726.2974966477. The cubic root of 76148268 is about 423.8576343561.

The spelling of 76148268 in words is "seventy-six million, one hundred forty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 239 478 717 956 1434 1673 2868 3346 3793 5019 6692 7586 10038 11379 15172 20076 22758 26551 45516 53102 79653 106204 159306 318612 906527 1813054 2719581 3626108 5439162 6345689 10878324 12691378 19037067 25382756 38074134 76148268