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76313433 = 3724312073
BaseRepresentation
bin1001000110001…
…11001101011001
312022121010100110
410203013031121
5124014012213
611323354533
71614440100
oct443071531
9168533313
1076313433
113a093459
1221682a49
1312a6c3a1
14a1c7037
156a765c3
hex48c7359

76313433 has 24 divisors (see below), whose sum is σ = 121126368. Its totient is φ = 42590016.

The previous prime is 76313429. The next prime is 76313441. The reversal of 76313433 is 33431367.

It is not a de Polignac number, because 76313433 - 22 = 76313429 is a prime.

It is a super-3 number, since 3×763134333 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76313433.

It is not an unprimeable number, because it can be changed into a prime (76313453) 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 23 ways as a sum of consecutive naturals, for example, 285 + ... + 12357.

It is an arithmetic number, because the mean of its divisors is an integer number (5046932).

Almost surely, 276313433 is an apocalyptic number.

It is an amenable number.

76313433 is a deficient number, since it is larger than the sum of its proper divisors (44812935).

76313433 is a wasteful number, since it uses less digits than its factorization.

76313433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12126 counting only the distinct ones).

The product of its digits is 13608, while the sum is 30.

The square root of 76313433 is about 8735.7560062080. The cubic root of 76313433 is about 424.1638610305.

It can be divided in two parts, 763 and 13433, that added together give a triangular number (14196 = T168).

The spelling of 76313433 in words is "seventy-six million, three hundred thirteen thousand, four hundred thirty-three".

Divisors: 1 3 7 21 43 49 129 147 301 903 2107 6321 12073 36219 84511 253533 519139 591577 1557417 1774731 3633973 10901919 25437811 76313433