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534557088 = 253213672131
BaseRepresentation
bin11111110111001…
…011000110100000
31101020212022110200
4133313023012200
52043321311323
6125013225200
716150442322
oct3767130640
91336768420
10534557088
1125481a71a
1212b032200
1386994390
1450dcd612
1531de2443
hex1fdcb1a0

534557088 has 144 divisors (see below), whose sum is σ = 1662294816. Its totient is φ = 161948160.

The previous prime is 534557081. The next prime is 534557131. The reversal of 534557088 is 880755435.

534557088 is a `hidden beast` number, since 53 + 455 + 70 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (534557081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249783 + ... + 251913.

It is an arithmetic number, because the mean of its divisors is an integer number (11543714).

Almost surely, 2534557088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534557088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831147408).

534557088 is an abundant number, since it is smaller than the sum of its proper divisors (1127737728).

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

534557088 is a wasteful number, since it uses less digits than its factorization.

534557088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 534557088 is about 23120.4906522331. The cubic root of 534557088 is about 811.5800525326.

The spelling of 534557088 in words is "five hundred thirty-four million, five hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 402 416 468 536 603 624 804 871 936 1072 1206 1248 1608 1742 1872 2131 2144 2412 2613 3216 3484 3744 4262 4824 5226 6393 6432 6968 7839 8524 9648 10452 12786 13936 15678 17048 19179 19296 20904 25572 27703 27872 31356 34096 38358 41808 51144 55406 62712 68192 76716 83109 83616 102288 110812 125424 142777 153432 166218 204576 221624 249327 250848 285554 306864 332436 428331 443248 498654 571108 613728 664872 856662 886496 997308 1142216 1284993 1329744 1713324 1856101 1994616 2284432 2569986 2659488 3426648 3712202 3989232 4568864 5139972 5568303 6853296 7424404 7978464 10279944 11136606 13706592 14848808 16704909 20559888 22273212 29697616 33409818 41119776 44546424 59395232 66819636 89092848 133639272 178185696 267278544 534557088