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76266304 = 261923301
BaseRepresentation
bin1001000101110…
…11101101000000
312022111201200221
410202323231000
5124011010204
611322352424
71614152512
oct442735500
9168451627
1076266304
113a061004
122165b714
1312a53aba
14a1b3bb2
156a67654
hex48bbb40

76266304 has 42 divisors (see below), whose sum is σ = 159773874. Its totient is φ = 36115200.

The previous prime is 76266269. The next prime is 76266313. The reversal of 76266304 is 40366267.

It can be written as a sum of positive squares in only one way, i.e., 55472704 + 20793600 = 7448^2 + 4560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76266304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21454 + ... + 24754.

Almost surely, 276266304 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 76266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79886937).

76266304 is an abundant number, since it is smaller than the sum of its proper divisors (83507570).

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

76266304 is a wasteful number, since it uses less digits than its factorization.

76266304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 76266304 is about 8733.0581127117. The cubic root of 76266304 is about 424.0765258812.

The spelling of 76266304 in words is "seventy-six million, two hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 3301 5776 6602 11552 13204 23104 26408 52816 62719 105632 125438 211264 250876 501752 1003504 1191661 2007008 2383322 4014016 4766644 9533288 19066576 38133152 76266304