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76427460 = 22325424597
BaseRepresentation
bin1001000111000…
…11000011000100
312022210220202200
410203203003010
5124031134320
611330034500
71615423404
oct443430304
9168726680
1076427460
113a16109a
1221718a30
1312aac265
14a216804
156a9a290
hex48e30c4

76427460 has 36 divisors (see below), whose sum is σ = 231830508. Its totient is φ = 20380608.

The previous prime is 76427419. The next prime is 76427489. The reversal of 76427460 is 6472467.

76427460 is a `hidden beast` number, since 7 + 642 + 7 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 61496964 = 3864^2 + 7842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212119 + ... + 212478.

Almost surely, 276427460 is an apocalyptic number.

It is an amenable number.

76427460 is an abundant number, since it is smaller than the sum of its proper divisors (155403048).

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

76427460 is a wasteful number, since it uses less digits than its factorization.

76427460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424612 (or 424607 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 76427460 is about 8742.2800229688. The cubic root of 76427460 is about 424.3750167917.

It can be divided in two parts, 764 and 27460, that added together give a square (28224 = 1682).

The spelling of 76427460 in words is "seventy-six million, four hundred twenty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 424597 849194 1273791 1698388 2122985 2547582 3821373 4245970 5095164 6368955 7642746 8491940 12737910 15285492 19106865 25475820 38213730 76427460