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942992064 = 2633733743
BaseRepresentation
bin111000001101001…
…110101011000000
32102201101221221000
4320031032223000
53412401221224
6233323332000
732240205000
oct7015165300
92381357830
10942992064
11444326993
12223981000
1312049a091
148d34c000
1557bc00c9
hex3834eac0

942992064 has 448 divisors, whose sum is σ = 3397504000. Its totient is φ = 256048128.

The previous prime is 942992051. The next prime is 942992077. The reversal of 942992064 is 460299249.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (942992051) and next prime (942992077).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21930027 + ... + 21930069.

Almost surely, 2942992064 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 942992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698752000).

942992064 is an abundant number, since it is smaller than the sum of its proper divisors (2454511936).

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

942992064 is a wasteful number, since it uses less digits than its factorization.

942992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 942992064 is about 30708.1758494379. The cubic root of 942992064 is about 980.6243640341.

The spelling of 942992064 in words is "nine hundred forty-two million, nine hundred ninety-two thousand, sixty-four".