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252652860 = 223251403627
BaseRepresentation
bin11110000111100…
…10110100111100
3122121102002120100
433003302310330
51004134342420
641023121100
76155341155
oct1703626474
9577362510
10252652860
1111a685919
1270743190
1340461045
14257aa92c
15172aa190
hexf0f2d3c

252652860 has 36 divisors (see below), whose sum is σ = 766380888. Its totient is φ = 67374048.

The previous prime is 252652849. The next prime is 252652867. The reversal of 252652860 is 68256252.

252652860 is a `hidden beast` number, since 2 + 526 + 52 + 86 + 0 = 666.

252652860 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 (36).

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 (252652867) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701634 + ... + 701993.

It is an arithmetic number, because the mean of its divisors is an integer number (21288358).

Almost surely, 2252652860 is an apocalyptic number.

252652860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252652860 is an abundant number, since it is smaller than the sum of its proper divisors (513728028).

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

252652860 is a wasteful number, since it uses less digits than its factorization.

252652860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403642 (or 1403637 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 252652860 is about 15895.0577224495. The cubic root of 252652860 is about 632.1809521645.

The spelling of 252652860 in words is "two hundred fifty-two million, six hundred fifty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1403627 2807254 4210881 5614508 7018135 8421762 12632643 14036270 16843524 21054405 25265286 28072540 42108810 50530572 63163215 84217620 126326430 252652860