Search a number
-
+
252432592 = 24173073023
BaseRepresentation
bin11110000101111…
…01000011010000
3122120222220102021
433002331003100
51004110320332
641014301224
76153433036
oct1702750320
9576886367
10252432592
1111a545385
1270657814
13403b49c9
1425750556
1517264c97
hexf0bd0d0

252432592 has 40 divisors (see below), whose sum is σ = 519716736. Its totient is φ = 118365696.

The previous prime is 252432547. The next prime is 252432601. The reversal of 252432592 is 295234252.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 81993 + ... + 85015.

Almost surely, 2252432592 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 252432592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259858368).

252432592 is an abundant number, since it is smaller than the sum of its proper divisors (267284144).

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

252432592 is a wasteful number, since it uses less digits than its factorization.

252432592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3349 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 252432592 is about 15888.1273912315. The cubic root of 252432592 is about 631.9971825971.

The spelling of 252432592 in words is "two hundred fifty-two million, four hundred thirty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 307 614 1228 2456 3023 4912 5219 6046 10438 12092 20876 24184 41752 48368 51391 83504 102782 205564 411128 822256 928061 1856122 3712244 7424488 14848976 15777037 31554074 63108148 126216296 252432592