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252131742 = 232293115581
BaseRepresentation
bin11110000011100…
…11100110011110
3122120102121201200
433001303212132
51004021203432
641004020330
76151040652
oct1701634636
9576377650
10252131742
1111a35a345
12705316a6
134030aaa5
14256b2a62
1517205a7c
hexf07399e

252131742 has 48 divisors (see below), whose sum is σ = 583390080. Its totient is φ = 78523200.

The previous prime is 252131717. The next prime is 252131753. The reversal of 252131742 is 247131252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8392 + ... + 23972.

It is an arithmetic number, because the mean of its divisors is an integer number (12153960).

Almost surely, 2252131742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252131742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291695040).

252131742 is an abundant number, since it is smaller than the sum of its proper divisors (331258338).

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

252131742 is a wasteful number, since it uses less digits than its factorization.

252131742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15649 (or 15646 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 252131742 is about 15878.6568071736. The cubic root of 252131742 is about 631.7460106756.

Adding to 252131742 its reverse (247131252), we get a palindrome (499262994).

The spelling of 252131742 in words is "two hundred fifty-two million, one hundred thirty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2697 5394 8091 15581 16182 31162 46743 93486 140229 280458 451849 483011 903698 966022 1355547 1449033 2711094 2898066 4066641 4347099 8133282 8694198 14007319 28014638 42021957 84043914 126065871 252131742