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76260372 = 22329317069
BaseRepresentation
bin1001000101110…
…10010000010100
312022111102120020
410202322100110
5124010312442
611322305140
71614126306
oct442722024
9168442506
1076260372
113a057601
12216581b0
1312a511a6
14a1b1976
156a659ec
hex48ba414

76260372 has 48 divisors (see below), whose sum is σ = 190041600. Its totient is φ = 23748480.

The previous prime is 76260347. The next prime is 76260377. The reversal of 76260372 is 27306267.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76260377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7254 + ... + 14322.

It is an arithmetic number, because the mean of its divisors is an integer number (3959200).

Almost surely, 276260372 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 76260372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95020800).

76260372 is an abundant number, since it is smaller than the sum of its proper divisors (113781228).

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

76260372 is a wasteful number, since it uses less digits than its factorization.

76260372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 76260372 is about 8732.7184770838. The cubic root of 76260372 is about 424.0655306926.

The spelling of 76260372 in words is "seventy-six million, two hundred sixty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 7069 10788 14138 21207 28276 42414 84828 205001 219139 410002 438278 615003 657417 820004 876556 1230006 1314834 2460012 2629668 6355031 12710062 19065093 25420124 38130186 76260372