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76406352 = 24311144709
BaseRepresentation
bin1001000110111…
…01111001010000
312022202211210220
410203131321100
5124030000402
611325353040
71615305021
oct443357120
9168684726
1076406352
113a147250
1221708780
1312aa2779
14a20cc48
156a93dbc
hex48dde50

76406352 has 40 divisors (see below), whose sum is σ = 215328480. Its totient is φ = 23153280.

The previous prime is 76406339. The next prime is 76406359. The reversal of 76406352 is 25360467.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76406359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71827 + ... + 72882.

It is an arithmetic number, because the mean of its divisors is an integer number (5383212).

Almost surely, 276406352 is an apocalyptic number.

It is an amenable number.

76406352 is an abundant number, since it is smaller than the sum of its proper divisors (138922128).

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

76406352 is a wasteful number, since it uses less digits than its factorization.

76406352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144731 (or 144725 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 76406352 is about 8741.0727030497. The cubic root of 76406352 is about 424.3359447416.

The spelling of 76406352 in words is "seventy-six million, four hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 144709 289418 434127 578836 868254 1157672 1591799 1736508 2315344 3183598 3473016 4775397 6367196 6946032 9550794 12734392 19101588 25468784 38203176 76406352