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76827040 = 255480169
BaseRepresentation
bin1001001010001…
…00100110100000
312100120012212221
410211010212200
5124131431130
611342400424
71622006353
oct445044640
9170505787
1076827040
113a404324
1221890114
1312bbc0b4
14a2bc29a
156b2887a
hex49449a0

76827040 has 24 divisors (see below), whose sum is σ = 181504260. Its totient is φ = 30730752.

The previous prime is 76827031. The next prime is 76827053. The reversal of 76827040 is 4072867.

It can be written as a sum of positive squares in 2 ways, for example, as 74718736 + 2108304 = 8644^2 + 1452^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76826987 and 76827005.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239925 + ... + 240244.

Almost surely, 276827040 is an apocalyptic number.

It is an amenable number.

76827040 is an abundant number, since it is smaller than the sum of its proper divisors (104677220).

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

76827040 is a wasteful number, since it uses less digits than its factorization.

76827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480184 (or 480176 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 76827040 is about 8765.1035361826. The cubic root of 76827040 is about 425.1133077357.

The spelling of 76827040 in words is "seventy-six million, eight hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 480169 960338 1920676 2400845 3841352 4801690 7682704 9603380 15365408 19206760 38413520 76827040