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252883098 = 232131497253
BaseRepresentation
bin11110001001010…
…11000010011010
3122121211210101200
433010223002122
51004214224343
641032055030
76160320336
oct1704530232
9577753350
10252883098
1111a8228a6
1270834476
1340511a90
142582a7c6
15173034d3
hexf12b09a

252883098 has 48 divisors (see below), whose sum is σ = 594102600. Its totient is φ = 77277312.

The previous prime is 252883079. The next prime is 252883133. The reversal of 252883098 is 890388252.

252883098 is a `hidden beast` number, since 2 + 528 + 8 + 30 + 98 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151216209 + 101666889 = 12297^2 + 10083^2 .

It is a super-2 number, since 2×2528830982 = 127899722508155208, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 31240 + ... + 38492.

Almost surely, 2252883098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252883098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297051300).

252883098 is an abundant number, since it is smaller than the sum of its proper divisors (341219502).

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

252883098 is a wasteful number, since it uses less digits than its factorization.

252883098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 252883098 is about 15902.2985131081. The cubic root of 252883098 is about 632.3729255668.

The spelling of 252883098 in words is "two hundred fifty-two million, eight hundred eighty-three thousand, ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1937 2682 3874 5811 7253 11622 14506 17433 21759 34866 43518 65277 94289 130554 188578 282867 565734 848601 1080697 1697202 2161394 3242091 6484182 9726273 14049061 19452546 28098122 42147183 84294366 126441549 252883098