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1053043992 = 23327111319769
BaseRepresentation
bin111110110001000…
…010110100011000
32201101111011210100
4332301002310120
54124034401432
6252254215400
735044504050
oct7661026430
92641434710
101053043992
114a04635a0
122547b4560
1313a21cc70
149dbd8560
15626ad07c
hex3ec42d18

1053043992 has 384 divisors, whose sum is σ = 4036032000. Its totient is φ = 238878720.

The previous prime is 1053043987. The next prime is 1053044017. The reversal of 1053043992 is 2993403501.

It is a happy number.

1053043992 is a `hidden beast` number, since 1 + 0 + 530 + 4 + 39 + 92 = 666.

It is a super-2 number, since 2×10530439922 = 2217803298174592128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1368984 + ... + 1369752.

It is an arithmetic number, because the mean of its divisors is an integer number (10510500).

Almost surely, 21053043992 is an apocalyptic number.

1053043992 is a gapful number since it is divisible by the number (12) 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 1053043992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018016000).

1053043992 is an abundant number, since it is smaller than the sum of its proper divisors (2982988008).

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

1053043992 is a wasteful number, since it uses less digits than its factorization.

1053043992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1053043992 is about 32450.6393157361. The cubic root of 1053043992 is about 1017.3776004348.

The spelling of 1053043992 in words is "one billion, fifty-three million, forty-three thousand, nine hundred ninety-two".