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76406328 = 2334117911
BaseRepresentation
bin1001000110111…
…01111000111000
312022202211210000
410203131320320
5124030000303
611325353000
71615304655
oct443357070
9168684700
1076406328
113a147229
1221708760
1312aa275b
14a20cc2c
156a93da3
hex48dde38

76406328 has 40 divisors (see below), whose sum is σ = 214010280. Its totient is φ = 25468560.

The previous prime is 76406311. The next prime is 76406333. The reversal of 76406328 is 82360467.

76406328 is a `hidden beast` number, since 7 + 640 + 6 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76406292 and 76406301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 58308 + ... + 59603.

It is an arithmetic number, because the mean of its divisors is an integer number (5350257).

Almost surely, 276406328 is an apocalyptic number.

It is an amenable number.

76406328 is an abundant number, since it is smaller than the sum of its proper divisors (137603952).

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

76406328 is a wasteful number, since it uses less digits than its factorization.

76406328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117929 (or 117916 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76406328 is about 8741.0713302203. The cubic root of 76406328 is about 424.3359003122.

The spelling of 76406328 in words is "seventy-six million, four hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 117911 235822 353733 471644 707466 943288 1061199 1414932 2122398 2829864 3183597 4244796 6367194 8489592 9550791 12734388 19101582 25468776 38203164 76406328