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992987424 = 253511131947
BaseRepresentation
bin111011001011111…
…100100100100000
32120012110222200000
4323023330210200
54013201044144
6242311100000
733415153032
oct7313744440
92505428600
10992987424
1146a574170
12238671600
1312a953330
1495c43c52
155c298769
hex3b2fc920

992987424 has 576 divisors, whose sum is σ = 3698472960. Its totient is φ = 257541120.

The previous prime is 992987393. The next prime is 992987431. The reversal of 992987424 is 424789299.

992987424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21127369 + ... + 21127415.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2992987424 is an apocalyptic number.

992987424 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 992987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

992987424 is an abundant number, since it is smaller than the sum of its proper divisors (2705485536).

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

992987424 is a wasteful number, since it uses less digits than its factorization.

992987424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 992987424 is about 31511.7029688971. The cubic root of 992987424 is about 997.6569892548.

The spelling of 992987424 in words is "nine hundred ninety-two million, nine hundred eighty-seven thousand, four hundred twenty-four".