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76488016 = 2411716121
BaseRepresentation
bin1001000111100…
…01110101010000
312022220222211111
410203301311100
5124040104031
611331223104
71616065063
oct443616520
9168828744
1076488016
113a1a2640
1221747a94
1312b009a7
14a2308da
156aad1b1
hex48f1d50

76488016 has 40 divisors (see below), whose sum is σ = 163971648. Its totient is φ = 34272000.

The previous prime is 76488011. The next prime is 76488017. The reversal of 76488016 is 61088467.

It is a self number, because there is not a number n which added to its sum of digits gives 76488016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76488011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9436 + ... + 15556.

Almost surely, 276488016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76488016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81985824).

76488016 is an abundant number, since it is smaller than the sum of its proper divisors (87483632).

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

76488016 is a wasteful number, since it uses less digits than its factorization.

76488016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 76488016 is about 8745.7427357544. The cubic root of 76488016 is about 424.4870693151.

The spelling of 76488016 in words is "seventy-six million, four hundred eighty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6121 6248 12242 12496 24484 48968 67331 97936 134662 269324 434591 538648 869182 1077296 1738364 3476728 4780501 6953456 9561002 19122004 38244008 76488016