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536756224 = 2141812
BaseRepresentation
bin11111111111100…
…100000000000000
31101102000001010011
4133333210000000
52044402144344
6125132314304
716205231644
oct3777440000
91342001104
10536756224
11255a91994
1212b912994
1387284344
1451402c24
15321c8d34
hex1ffe4000

536756224 has 45 divisors (see below), whose sum is σ = 1079443281. Its totient is φ = 266895360.

The previous prime is 536756219. The next prime is 536756243. The reversal of 536756224 is 422657635.

The square root of 536756224 is 23168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5914624 + 530841600 = 2432^2 + 23040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2965414 + ... + 2965594.

Almost surely, 2536756224 is an apocalyptic number.

536756224 is the 23168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536756224

536756224 is an abundant number, since it is smaller than the sum of its proper divisors (542687057).

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

536756224 is an frugal number, since it uses more digits than its factorization.

536756224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 183 counting only the distinct ones).

The product of its digits is 302400, while the sum is 40.

The cubic root of 536756224 is about 812.6914604895.

The spelling of 536756224 in words is "five hundred thirty-six million, seven hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 512 724 1024 1448 2048 2896 4096 5792 8192 11584 16384 23168 32761 46336 65522 92672 131044 185344 262088 370688 524176 741376 1048352 1482752 2096704 2965504 4193408 8386816 16773632 33547264 67094528 134189056 268378112 536756224