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76380032 = 273119249
BaseRepresentation
bin1001000110101…
…11011110000000
312022201111201002
410203113132000
5124023130112
611325031132
71615135211
oct443273600
9168644632
1076380032
113a1294a3
12216b54a8
1312a937b1
14a203408
156a8b1c2
hex48d7780

76380032 has 32 divisors (see below), whose sum is σ = 157080000. Its totient is φ = 36956160.

The previous prime is 76380023. The next prime is 76380061. The reversal of 76380032 is 23008367.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 76379977 and 76380004.

It is a congruent number.

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, 5657 + ... + 13592.

It is an arithmetic number, because the mean of its divisors is an integer number (4908750).

Almost surely, 276380032 is an apocalyptic number.

It is an amenable number.

76380032 is an abundant number, since it is smaller than the sum of its proper divisors (80699968).

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

76380032 is a wasteful number, since it uses less digits than its factorization.

76380032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19294 (or 19282 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 76380032 is about 8739.5670373309. The cubic root of 76380032 is about 424.2872149155.

Adding to 76380032 its reverse (23008367), we get a palindrome (99388399).

The spelling of 76380032 in words is "seventy-six million, three hundred eighty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 19249 38498 76996 153992 307984 596719 615968 1193438 1231936 2386876 2463872 4773752 9547504 19095008 38190016 76380032