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76896252 = 223217911933
BaseRepresentation
bin1001001010101…
…01011111111100
312100200201211100
410211111133330
5124141140002
611344053100
71622415216
oct445253774
9170621740
1076896252
113a451324
1221904190
1312c14754
14a2d95b6
156b3e11c
hex49557fc

76896252 has 36 divisors (see below), whose sum is σ = 195478920. Its totient is φ = 25486752.

The previous prime is 76896247. The next prime is 76896271. The reversal of 76896252 is 25269867.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 76896198 and 76896207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478 + ... + 12410.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 276896252 is an apocalyptic number.

It is an amenable number.

76896252 is an abundant number, since it is smaller than the sum of its proper divisors (118582668).

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

76896252 is a wasteful number, since it uses less digits than its factorization.

76896252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122 (or 12117 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 76896252 is about 8769.0508038214. The cubic root of 76896252 is about 425.2409282156.

It can be divided in two parts, 768 and 96252, that added together give a triangular number (97020 = T440).

The spelling of 76896252 in words is "seventy-six million, eight hundred ninety-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 11933 23866 35799 47732 71598 107397 143196 214794 429588 2136007 4272014 6408021 8544028 12816042 19224063 25632084 38448126 76896252