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76842756 = 22344872
BaseRepresentation
bin1001001010010…
…00011100000100
312100121000110000
410211020130010
5124132432011
611343001300
71622103234
oct445103404
9170530400
1076842756
113a415111
1221899230
1312bc62b3
14a2c3cc4
156b2d356
hex4948704

76842756 has 45 divisors (see below), whose sum is σ = 201295479. Its totient is φ = 25561656.

The previous prime is 76842709. The next prime is 76842761. The reversal of 76842756 is 65724867.

The square root of 76842756 is 8766.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 157545 + ... + 158031.

Almost surely, 276842756 is an apocalyptic number.

76842756 is the 8766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76842756

76842756 is an abundant number, since it is smaller than the sum of its proper divisors (124452723).

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

76842756 is an equidigital number, since it uses as much as digits as its factorization.

76842756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 492 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The cubic root of 76842756 is about 425.1422932996.

It can be divided in two parts, 7684 and 2756, that added together give a triangular number (10440 = T144).

The spelling of 76842756 in words is "seventy-six million, eight hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 487 974 1461 1948 2922 4383 5844 8766 13149 17532 26298 39447 52596 78894 157788 237169 474338 711507 948676 1423014 2134521 2846028 4269042 6403563 8538084 12807126 19210689 25614252 38421378 76842756