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52106256 = 24322331553
BaseRepresentation
bin1100011011000…
…1010000010000
310122001021100100
43012301100100
5101314400011
65100452400
71201616166
oct306612020
9118037310
1052106256
112745a224
121554a100
13aa45007
146cc5236
154893d56
hex31b1410

52106256 has 60 divisors (see below), whose sum is σ = 146545308. Its totient is φ = 17283072.

The previous prime is 52106209. The next prime is 52106269. The reversal of 52106256 is 65260125.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 44355600 = 2784^2 + 6660^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 32776 + ... + 34328.

Almost surely, 252106256 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 52106256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73272654).

52106256 is an abundant number, since it is smaller than the sum of its proper divisors (94439052).

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

52106256 is a wasteful number, since it uses less digits than its factorization.

52106256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52106256 is about 7218.4663191013. The cubic root of 52106256 is about 373.5051745760.

The spelling of 52106256 in words is "fifty-two million, one hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 699 932 1398 1553 1864 2097 2796 3106 3728 4194 4659 5592 6212 8388 9318 11184 12424 13977 16776 18636 24848 27954 33552 37272 55908 74544 111816 223632 361849 723698 1085547 1447396 2171094 2894792 3256641 4342188 5789584 6513282 8684376 13026564 17368752 26053128 52106256