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76413880 = 2353751631
BaseRepresentation
bin1001000110111…
…11101110111000
312022210020010201
410203133232320
5124030221010
611325451544
71615335664
oct443375670
9168706121
1076413880
113a151974
1221710bb4
1312aa601a
14a2118a4
156a9623a
hex48dfbb8

76413880 has 32 divisors (see below), whose sum is σ = 176581440. Its totient is φ = 29738880.

The previous prime is 76413871. The next prime is 76413901. The reversal of 76413880 is 8831467.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24336 + ... + 27295.

It is an arithmetic number, because the mean of its divisors is an integer number (5518170).

Almost surely, 276413880 is an apocalyptic number.

It is an amenable number.

76413880 is an abundant number, since it is smaller than the sum of its proper divisors (100167560).

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

76413880 is a wasteful number, since it uses less digits than its factorization.

76413880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51679 (or 51675 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 76413880 is about 8741.5033032082. The cubic root of 76413880 is about 424.3498803024.

The spelling of 76413880 in words is "seventy-six million, four hundred thirteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 51631 103262 206524 258155 413048 516310 1032620 1910347 2065240 3820694 7641388 9551735 15282776 19103470 38206940 76413880