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76912272 = 2432534113
BaseRepresentation
bin1001001010110…
…01011010010000
312100201112210200
410211121122100
5124142143042
611344255200
71622513013
oct445313220
9170645720
1076912272
113a462368
1221911500
1312c1bb28
14a30137a
156b43c4c
hex4959690

76912272 has 30 divisors (see below), whose sum is σ = 215247942. Its totient is φ = 25637376.

The previous prime is 76912261. The next prime is 76912291. The reversal of 76912272 is 27221967.

It can be written as a sum of positive squares in only one way, i.e., 57517056 + 19395216 = 7584^2 + 4404^2 .

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 266913 + ... + 267200.

Almost surely, 276912272 is an apocalyptic number.

76912272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76912272 is an abundant number, since it is smaller than the sum of its proper divisors (138335670).

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

76912272 is a wasteful number, since it uses less digits than its factorization.

76912272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534127 (or 534118 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 76912272 is about 8769.9641960501. The cubic root of 76912272 is about 425.2704566884.

It can be divided in two parts, 769 and 12272, that added together give a triangular number (13041 = T161).

The spelling of 76912272 in words is "seventy-six million, nine hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 534113 1068226 1602339 2136452 3204678 4272904 4807017 6409356 8545808 9614034 12818712 19228068 25637424 38456136 76912272