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1053053624 = 23722738273
BaseRepresentation
bin111110110001000…
…101001010111000
32201101111200000002
4332301011022320
54124040203444
6252254332132
735044544120
oct7661051270
92641450002
101053053624
114a046a857
122547ba048
1313a22446c
149dbdbc80
15626b0d4e
hex3ec452b8

1053053624 has 32 divisors (see below), whose sum is σ = 2257809120. Its totient is φ = 451055616.

The previous prime is 1053053621. The next prime is 1053053641. The reversal of 1053053624 is 4263503501.

1053053624 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-2 number, since 2×10530536242 = 2217843870039066752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053053621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123152 + ... + 131424.

It is an arithmetic number, because the mean of its divisors is an integer number (70556535).

Almost surely, 21053053624 is an apocalyptic number.

1053053624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1053053624 is an abundant number, since it is smaller than the sum of its proper divisors (1204755496).

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

1053053624 is a wasteful number, since it uses less digits than its factorization.

1053053624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10555 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 1053053624 is about 32450.7877254159. The cubic root of 1053053624 is about 1017.3807023473.

The spelling of 1053053624 in words is "one billion, fifty-three million, fifty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 2273 4546 8273 9092 15911 16546 18184 31822 33092 57911 63644 66184 115822 127288 231644 463288 18804529 37609058 75218116 131631703 150436232 263263406 526526812 1053053624