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92942016 = 2633671319
BaseRepresentation
bin1011000101000…
…10111011000000
320110212221110220
411202202323000
5142243121031
613120023040
72205664656
oct542427300
9213787426
1092942016
1148510792
1227161a80
131634209b
14c4b4dd6
15825d596
hex58a2ec0

92942016 has 56 divisors (see below), whose sum is σ = 246766080. Its totient is φ = 30872832.

The previous prime is 92941993. The next prime is 92942063. The reversal of 92942016 is 61024929.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69805 + ... + 71123.

Almost surely, 292942016 is an apocalyptic number.

92942016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123383040).

92942016 is an abundant number, since it is smaller than the sum of its proper divisors (153824064).

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

92942016 is a wasteful number, since it uses less digits than its factorization.

92942016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 92942016 is about 9640.6439618938. The cubic root of 92942016 is about 452.9713103575.

The spelling of 92942016 in words is "ninety-two million, nine hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 367 734 1101 1319 1468 2202 2638 2936 3957 4404 5276 5872 7914 8808 10552 11744 15828 17616 21104 23488 31656 35232 42208 63312 70464 84416 126624 253248 484073 968146 1452219 1936292 2904438 3872584 5808876 7745168 11617752 15490336 23235504 30980672 46471008 92942016