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992425252 = 22713171923367
BaseRepresentation
bin111011001001110…
…011010100100100
32120011102102111211
4323021303110210
54013030102002
6242251041204
733410322040
oct7311632444
92504372454
10992425252
1146a21a865
12238440204
1312a7b74a0
1495b39020
155c1d6dd7
hex3b273524

992425252 has 192 divisors, whose sum is σ = 2492743680. Its totient is φ = 333932544.

The previous prime is 992425241. The next prime is 992425261. The reversal of 992425252 is 252524299.

992425252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9924252523 (a number of 28 digits) contains 333 as substring.

Its product of digits (129600) is a multiple of the sum of its prime factors (450).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2703973 + ... + 2704339.

It is an arithmetic number, because the mean of its divisors is an integer number (12983040).

Almost surely, 2992425252 is an apocalyptic number.

992425252 is a gapful number since it is divisible by the number (92) 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 992425252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246371840).

992425252 is an abundant number, since it is smaller than the sum of its proper divisors (1500318428).

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

992425252 is a wasteful number, since it uses less digits than its factorization.

992425252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 992425252 is about 31502.7816549587. The cubic root of 992425252 is about 997.4686818349.

The spelling of 992425252 in words is "nine hundred ninety-two million, four hundred twenty-five thousand, two hundred fifty-two".