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535055136 = 25371172383
BaseRepresentation
bin11111111001000…
…100101100100000
31101021210121122220
4133321010230200
52043433231021
6125032031040
716154615340
oct3771045440
91337717586
10535055136
1125502a930
1212b232480
1386b09c95
14510bcd20
1531e8ecc6
hex1fe44b20

535055136 has 96 divisors (see below), whose sum is σ = 1751113728. Its totient is φ = 138973440.

The previous prime is 535055123. The next prime is 535055137. The reversal of 535055136 is 631550535.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 535055097 and 535055106.

It is not an unprimeable number, because it can be changed into a prime (535055137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28800 + ... + 43583.

It is an arithmetic number, because the mean of its divisors is an integer number (18240768).

Almost surely, 2535055136 is an apocalyptic number.

535055136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

535055136 is an abundant number, since it is smaller than the sum of its proper divisors (1216058592).

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

535055136 is a wasteful number, since it uses less digits than its factorization.

535055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72414 (or 72406 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 33.

The square root of 535055136 is about 23131.2588503090. The cubic root of 535055136 is about 811.8320245937.

The spelling of 535055136 in words is "five hundred thirty-five million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 72383 144766 217149 289532 434298 506681 579064 796213 868596 1013362 1158128 1520043 1592426 1737192 2026724 2316256 2388639 3040086 3184852 3474384 4053448 4777278 5573491 6080172 6369704 6948768 8106896 9554556 11146982 12160344 12739408 16213792 16720473 19109112 22293964 24320688 25478816 33440946 38218224 44587928 48641376 66881892 76436448 89175856 133763784 178351712 267527568 535055136