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76312500 = 223561137
BaseRepresentation
bin1001000110001…
…10111110110100
312022121002001220
410203012332310
5124014000000
611323350340
71614434265
oct443067664
9168532056
1076312500
113a092790
12216823b0
1312a6bb34
14a1c696c
156a761a0
hex48c6fb4

76312500 has 168 divisors, whose sum is σ = 249371808. Its totient is φ = 18000000.

The previous prime is 76312471. The next prime is 76312513. The reversal of 76312500 is 521367.

It is a super-3 number, since 3×763125003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2062482 + ... + 2062518.

It is an arithmetic number, because the mean of its divisors is an integer number (1484356).

Almost surely, 276312500 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 76312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124685904).

76312500 is an abundant number, since it is smaller than the sum of its proper divisors (173059308).

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

76312500 is a wasteful number, since it uses less digits than its factorization.

76312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 76312500 is about 8735.7026048281. The cubic root of 76312500 is about 424.1621324292.

Adding to 76312500 its reverse (521367), we get a palindrome (76833867).

The spelling of 76312500 in words is "seventy-six million, three hundred twelve thousand, five hundred".