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252638424 = 23323508867
BaseRepresentation
bin11110000111011…
…11010011011000
3122121101100202200
433003233103120
51004133412144
641022530200
76155251113
oct1703572330
9577340680
10252638424
1111a675a95
1270736960
13404575bc
14257a557a
15172a5c69
hexf0ef4d8

252638424 has 24 divisors (see below), whose sum is σ = 684229260. Its totient is φ = 84212784.

The previous prime is 252638423. The next prime is 252638447. The reversal of 252638424 is 424836252.

252638424 is a `hidden beast` number, since 252 + 6 + 384 + 24 = 666.

252638424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252638423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1754362 + ... + 1754505.

Almost surely, 2252638424 is an apocalyptic number.

252638424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252638424 is an abundant number, since it is smaller than the sum of its proper divisors (431590836).

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

252638424 is a wasteful number, since it uses less digits than its factorization.

252638424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508879 (or 3508872 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 252638424 is about 15894.6036125472. The cubic root of 252638424 is about 632.1689114827.

The spelling of 252638424 in words is "two hundred fifty-two million, six hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3508867 7017734 10526601 14035468 21053202 28070936 31579803 42106404 63159606 84212808 126319212 252638424