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76312629 = 3211375037
BaseRepresentation
bin1001000110001…
…11000000110101
312022121002020200
410203013000311
5124014001004
611323351113
71614434541
oct443070065
9168532220
1076312629
113a092898
1221682499
1312a6bc03
14a1c6a21
156a76239
hex48c7035

76312629 has 12 divisors (see below), whose sum is σ = 111206316. Its totient is φ = 50424192.

The previous prime is 76312627. The next prime is 76312637. The reversal of 76312629 is 92621367.

It can be written as a sum of positive squares in 2 ways, for example, as 2387025 + 73925604 = 1545^2 + 8598^2 .

It is not a de Polignac number, because 76312629 - 21 = 76312627 is a prime.

It is a super-3 number, since 3×763126293 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76312593 and 76312602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76312627) 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 11 ways as a sum of consecutive naturals, for example, 36502 + ... + 38535.

It is an arithmetic number, because the mean of its divisors is an integer number (9267193).

Almost surely, 276312629 is an apocalyptic number.

It is an amenable number.

76312629 is a deficient number, since it is larger than the sum of its proper divisors (34893687).

76312629 is a wasteful number, since it uses less digits than its factorization.

76312629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75156 (or 75153 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 76312629 is about 8735.7099883181. The cubic root of 76312629 is about 424.1623714328.

The spelling of 76312629 in words is "seventy-six million, three hundred twelve thousand, six hundred twenty-nine".

Divisors: 1 3 9 113 339 1017 75037 225111 675333 8479181 25437543 76312629