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76491360 = 25325112439
BaseRepresentation
bin1001000111100…
…10101001100000
312022221011102100
410203302221200
5124040210420
611331250400
71616110611
oct443625140
9168834370
1076491360
113a1a5100
1221749a00
1312b0237a
14a231c08
156aae190
hex48f2a60

76491360 has 216 divisors, whose sum is σ = 287567280. Its totient is φ = 18501120.

The previous prime is 76491343. The next prime is 76491379. The reversal of 76491360 is 6319467.

76491360 is a `hidden beast` number, since 7 + 649 + 1 + 3 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174021 + ... + 174459.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 276491360 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 76491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

76491360 is an abundant number, since it is smaller than the sum of its proper divisors (211075920).

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

76491360 is a wasteful number, since it uses less digits than its factorization.

76491360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 76491360 is about 8745.9339123961. The cubic root of 76491360 is about 424.4932553128.

It can be divided in two parts, 7649 and 1360, that added together give a palindrome (9009).

The spelling of 76491360 in words is "seventy-six million, four hundred ninety-one thousand, three hundred sixty".