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252635440 = 2454177023
BaseRepresentation
bin11110000111011…
…10100100110000
3122121101012200011
433003232210300
51004133313230
641022504304
76155236321
oct1703564460
9577335604
10252635440
1111a673822
1270735094
1340456135
14257a4448
15172a4e2a
hexf0ee930

252635440 has 40 divisors (see below), whose sum is σ = 601711488. Its totient is φ = 98588160.

The previous prime is 252635423. The next prime is 252635447. The reversal of 252635440 is 44536252.

252635440 is digitally balanced in base 2, 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 (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252635447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35232 + ... + 41791.

Almost surely, 2252635440 is an apocalyptic number.

252635440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252635440 is an abundant number, since it is smaller than the sum of its proper divisors (349076048).

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

252635440 is a wasteful number, since it uses less digits than its factorization.

252635440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77077 (or 77071 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 252635440 is about 15894.5097439336. The cubic root of 252635440 is about 632.1664225509.

It can be divided in two parts, 25263 and 5440, that added together give a palindrome (30703).

The spelling of 252635440 in words is "two hundred fifty-two million, six hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 77023 154046 308092 385115 616184 770230 1232368 1540460 3080920 3157943 6161840 6315886 12631772 15789715 25263544 31579430 50527088 63158860 126317720 252635440