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992242944 = 283272111747
BaseRepresentation
bin111011001001000…
…110110100000000
32120011002011102200
4323021012310000
54013003233234
6242243113200
733405632400
oct7311066400
92504064380
10992242944
1146a1058a0
12238372800
1312a752504
1495acc800
155c19cd99
hex3b246d00

992242944 has 648 divisors, whose sum is σ = 3925853568. Its totient is φ = 237404160.

The previous prime is 992242891. The next prime is 992242957. The reversal of 992242944 is 449242299.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 992242944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21111529 + ... + 21111575.

It is an arithmetic number, because the mean of its divisors is an integer number (6058416).

Almost surely, 2992242944 is an apocalyptic number.

992242944 is a gapful number since it is divisible by the number (94) 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 992242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962926784).

992242944 is an abundant number, since it is smaller than the sum of its proper divisors (2933610624).

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

992242944 is a wasteful number, since it uses less digits than its factorization.

992242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 992242944 is about 31499.8879998009. The cubic root of 992242944 is about 997.4075999360.

The spelling of 992242944 in words is "nine hundred ninety-two million, two hundred forty-two thousand, nine hundred forty-four".