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76241056 = 2517269521
BaseRepresentation
bin1001000101101…
…01100010100000
312022110110001211
410202311202200
5124004203211
611322035504
71614016063
oct442654240
9168413054
1076241056
113a044041
1221648b94
1312a45468
14a1a88da
156a5ee21
hex48b58a0

76241056 has 48 divisors (see below), whose sum is σ = 159825960. Its totient is φ = 35676160.

The previous prime is 76241041. The next prime is 76241069. The reversal of 76241056 is 65014267.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50637456 + 25603600 = 7116^2 + 5060^2 .

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, 146076 + ... + 146596.

Almost surely, 276241056 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 76241056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79912980).

76241056 is an abundant number, since it is smaller than the sum of its proper divisors (83584904).

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

76241056 is a wasteful number, since it uses less digits than its factorization.

76241056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 76241056 is about 8731.6124513173. The cubic root of 76241056 is about 424.0297237973.

The spelling of 76241056 in words is "seventy-six million, two hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 269 272 521 538 544 1042 1076 2084 2152 4168 4304 4573 8336 8608 8857 9146 16672 17714 18292 35428 36584 70856 73168 140149 141712 146336 280298 283424 560596 1121192 2242384 2382533 4484768 4765066 9530132 19060264 38120528 76241056