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942799680 = 263251132897
BaseRepresentation
bin111000001100011…
…111101101000000
32102201001012000200
4320030133231000
53412324042210
6233315245200
732235444054
oct7014375500
92381035020
10942799680
11444205399
122238a9800
13120430644
148d2dbc64
1557b830c0
hex3831fb40

942799680 has 168 divisors, whose sum is σ = 3272665032. Its totient is φ = 249102336.

The previous prime is 942799631. The next prime is 942799691. The reversal of 942799680 is 86997249.

It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 895685184 = 6864^2 + 29928^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323992 + ... + 326888.

It is an arithmetic number, because the mean of its divisors is an integer number (19480149).

Almost surely, 2942799680 is an apocalyptic number.

942799680 is a gapful number since it is divisible by the number (90) 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 942799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636332516).

942799680 is an abundant number, since it is smaller than the sum of its proper divisors (2329865352).

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

942799680 is a wasteful number, since it uses less digits than its factorization.

942799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 942799680 is about 30705.0432339705. The cubic root of 942799680 is about 980.5576723210.

The spelling of 942799680 in words is "nine hundred forty-two million, seven hundred ninety-nine thousand, six hundred eighty".