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252738360 = 233357101331
BaseRepresentation
bin11110001000001…
…11101100111000
3122121120102212000
433010013230320
51004200111420
641025021000
76156145350
oct1704075470
9577512760
10252738360
1111a734086
1270784760
1340490c34
14257cdb60
15172c5690
hexf107b38

252738360 has 256 divisors, whose sum is σ = 975283200. Its totient is φ = 57024000.

The previous prime is 252738349. The next prime is 252738377. The reversal of 252738360 is 63837252.

252738360 is a `hidden beast` number, since 25 + 273 + 8 + 360 = 666.

252738360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763395 + ... + 763725.

It is an arithmetic number, because the mean of its divisors is an integer number (3809700).

Almost surely, 2252738360 is an apocalyptic number.

252738360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252738360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487641600).

252738360 is an abundant number, since it is smaller than the sum of its proper divisors (722544840).

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

252738360 is a wasteful number, since it uses less digits than its factorization.

252738360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 252738360 is about 15897.7470101898. The cubic root of 252738360 is about 632.2522560283.

It can be divided in two parts, 25273 and 8360, that added together give a palindrome (33633).

The spelling of 252738360 in words is "two hundred fifty-two million, seven hundred thirty-eight thousand, three hundred sixty".