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252482202 = 23272293977
BaseRepresentation
bin11110000110010…
…01001010011010
3122121002102110200
433003021022122
51004113412302
641015323030
76154030500
oct1703111232
9577072420
10252482202
1111a579685
1270680476
134040146b
1425764670
151727481c
hexf0c929a

252482202 has 72 divisors (see below), whose sum is σ = 639183636. Its totient is φ = 71817984.

The previous prime is 252482189. The next prime is 252482227. The reversal of 252482202 is 202284252.

252482202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 185749641 + 66732561 = 13629^2 + 8169^2 .

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 35 ways as a sum of consecutive naturals, for example, 257938 + ... + 258914.

Almost surely, 2252482202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252482202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319591818).

252482202 is an abundant number, since it is smaller than the sum of its proper divisors (386701434).

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

252482202 is a wasteful number, since it uses less digits than its factorization.

252482202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 252482202 is about 15889.6885432031. The cubic root of 252482202 is about 632.0385815388.

The spelling of 252482202 in words is "two hundred fifty-two million, four hundred eighty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 293 294 441 586 879 882 977 1758 1954 2051 2637 2931 4102 5274 5862 6153 6839 8793 12306 13678 14357 17586 18459 20517 28714 36918 41034 43071 47873 61551 86142 95746 123102 129213 143619 258426 286261 287238 430857 572522 858783 861714 1717566 2003827 2576349 4007654 5152698 6011481 12022962 14026789 18034443 28053578 36068886 42080367 84160734 126241101 252482202