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252423132 = 223132196551
BaseRepresentation
bin11110000101110…
…10101111011100
3122120222102102220
433002322233130
51004110020012
641014145340
76153363333
oct1702725734
9576872386
10252423132
1111a539265
1270652250
13403b0600
142574ad1a
151726208c
hexf0babdc

252423132 has 72 divisors (see below), whose sum is σ = 671448960. Its totient is φ = 73569600.

The previous prime is 252423109. The next prime is 252423179. The reversal of 252423132 is 231324252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35257 + ... + 41807.

It is an arithmetic number, because the mean of its divisors is an integer number (9325680).

Almost surely, 2252423132 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 252423132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335724480).

252423132 is an abundant number, since it is smaller than the sum of its proper divisors (419025828).

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

252423132 is a wasteful number, since it uses less digits than its factorization.

252423132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6588 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 252423132 is about 15887.8296818666. The cubic root of 252423132 is about 631.9892877264.

Adding to 252423132 its reverse (231324252), we get a palindrome (483747384).

The spelling of 252423132 in words is "two hundred fifty-two million, four hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 676 741 988 1014 1482 2028 2964 3211 6422 6551 9633 12844 13102 19266 19653 26204 38532 39306 78612 85163 124469 170326 248938 255489 340652 373407 497876 510978 746814 1021956 1107119 1493628 1618097 2214238 3236194 3321357 4428476 4854291 6472388 6642714 9708582 13285428 19417164 21035261 42070522 63105783 84141044 126211566 252423132