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1053357552 = 243213562691
BaseRepresentation
bin111110110010001…
…111010111110000
32201102002002220200
4332302033113300
54124124420202
6252305035200
735050251162
oct7662172760
92642062820
101053357552
114a0658135
12254925b00
1313a2cc8c0
149dc7a932
1562720e1c
hex3ec8f5f0

1053357552 has 60 divisors (see below), whose sum is σ = 3174708264. Its totient is φ = 324109440.

The previous prime is 1053357533. The next prime is 1053357559. The reversal of 1053357552 is 2557533501.

1053357552 is a `hidden beast` number, since 1 + 0 + 5 + 33 + 575 + 52 = 666.

It is a super-2 number, since 2×10533575522 = 2219124264710865408, 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 (1053357559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279474 + ... + 283217.

Almost surely, 21053357552 is an apocalyptic number.

1053357552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053357552 is an abundant number, since it is smaller than the sum of its proper divisors (2121350712).

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

1053357552 is a wasteful number, since it uses less digits than its factorization.

1053357552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562718 (or 562709 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 1053357552 is about 32455.4702939273. The cubic root of 1053357552 is about 1017.4785703419.

The spelling of 1053357552 in words is "one billion, fifty-three million, three hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 562691 1125382 1688073 2250764 3376146 4501528 5064219 6752292 7314983 9003056 10128438 13504584 14629966 20256876 21944949 27009168 29259932 40513752 43889898 58519864 65834847 81027504 87779796 117039728 131669694 175559592 263339388 351119184 526678776 1053357552