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992489400 = 2332527227347
BaseRepresentation
bin111011001010000…
…010111110111000
32120011112200111200
4323022002332320
54013034130100
6242252254200
733411010050
oct7312027670
92504480450
10992489400
1146a263a81
12238471360
1312a80a746
1495b54560
155c1eae00
hex3b282fb8

992489400 has 288 divisors, whose sum is σ = 3837075840. Its totient is φ = 225204480.

The previous prime is 992489387. The next prime is 992489401. The reversal of 992489400 is 4984299.

It is a super-2 number, since 2×9924894002 = 1970070418224720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992489401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2860027 + ... + 2860373.

It is an arithmetic number, because the mean of its divisors is an integer number (13323180).

Almost surely, 2992489400 is an apocalyptic number.

992489400 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 992489400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918537920).

992489400 is an abundant number, since it is smaller than the sum of its proper divisors (2844586440).

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

992489400 is a wasteful number, since it uses less digits than its factorization.

992489400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 992489400 is about 31503.7997708213. The cubic root of 992489400 is about 997.4901727036.

The spelling of 992489400 in words is "nine hundred ninety-two million, four hundred eighty-nine thousand, four hundred".