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1056125952 = 21034717107
BaseRepresentation
bin111110111100110…
…011010000000000
32201121021202110000
4332330303100000
54130332012302
6252444240000
735112631260
oct7674632000
92647252400
101056125952
114a2179072
12255840000
1313aa5b9cb
14a039b7a0
1562abb31c
hex3ef33400

1056125952 has 440 divisors, whose sum is σ = 3852028224. Its totient is φ = 281346048.

The previous prime is 1056125951. The next prime is 1056125971. The reversal of 1056125952 is 2595216501.

1056125952 is a `hidden beast` number, since 1 + 0 + 5 + 61 + 2 + 595 + 2 = 666.

It is a super-2 number, since 2×10561259522 = 2230804052975812608, 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 not an unprimeable number, because it can be changed into a prime (1056125951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9870283 + ... + 9870389.

Almost surely, 21056125952 is an apocalyptic number.

1056125952 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 1056125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926014112).

1056125952 is an abundant number, since it is smaller than the sum of its proper divisors (2795902272).

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

1056125952 is a wasteful number, since it uses less digits than its factorization.

1056125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1056125952 is about 32498.0915131950. The cubic root of 1056125952 is about 1018.3691586018.

The spelling of 1056125952 in words is "one billion, fifty-six million, one hundred twenty-five thousand, nine hundred fifty-two".