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76430976 = 273199039
BaseRepresentation
bin1001000111000…
…11111010000000
312022211002120220
410203203322000
5124031242401
611330103040
71615436556
oct443437200
9168732526
1076430976
113a1637a6
122171aa80
1312ab0a3b
14a217bd6
156a9b336
hex48e3e80

76430976 has 32 divisors (see below), whose sum is σ = 203020800. Its totient is φ = 25476864.

The previous prime is 76430971. The next prime is 76430989. The reversal of 76430976 is 67903467.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (76430971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99136 + ... + 99903.

It is an arithmetic number, because the mean of its divisors is an integer number (6344400).

Almost surely, 276430976 is an apocalyptic number.

It is an amenable number.

76430976 is an abundant number, since it is smaller than the sum of its proper divisors (126589824).

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

76430976 is a wasteful number, since it uses less digits than its factorization.

76430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199056 (or 199044 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 76430976 is about 8742.4811123616. The cubic root of 76430976 is about 424.3815243990.

The spelling of 76430976 in words is "seventy-six million, four hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 199039 398078 597117 796156 1194234 1592312 2388468 3184624 4776936 6369248 9553872 12738496 19107744 25476992 38215488 76430976