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534916512 = 253213142873
BaseRepresentation
bin11111111000100…
…010110110100000
31101021112120111200
4133320202312200
52043414312022
6125025041200
716153500234
oct3770426640
91337476450
10534916512
11254a45769
1212b186200
1386a8bb60
14510845c4
1531e63bac
hex1fe22da0

534916512 has 72 divisors (see below), whose sum is σ = 1638193284. Its totient is φ = 164588544.

The previous prime is 534916477. The next prime is 534916537. The reversal of 534916512 is 215619435.

534916512 is a `hidden beast` number, since 53 + 4 + 91 + 6 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 534719376 + 197136 = 23124^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5349165122 = 572271349620492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67693 + ... + 75180.

Almost surely, 2534916512 is an apocalyptic number.

534916512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

534916512 is an abundant number, since it is smaller than the sum of its proper divisors (1103276772).

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

534916512 is a wasteful number, since it uses less digits than its factorization.

534916512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142902 (or 142891 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 534916512 is about 23128.2621915266. The cubic root of 534916512 is about 811.7619077557.

The spelling of 534916512 in words is "five hundred thirty-four million, nine hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 142873 285746 428619 571492 857238 1142984 1285857 1714476 1857349 2285968 2571714 3428952 3714698 4571936 5143428 5572047 6857904 7429396 10286856 11144094 13715808 14858792 16716141 20573712 22288188 29717584 33432282 41147424 44576376 59435168 66864564 89152752 133729128 178305504 267458256 534916512