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252590316 = 223112238581
BaseRepresentation
bin11110000111000…
…11100011101100
3122121021220202220
433003203203230
51004130342231
641021515340
76154660626
oct1703434354
9577256686
10252590316
1111a642930
1270712b50
134043b734
1425791c16
1517296896
hexf0e38ec

252590316 has 48 divisors (see below), whose sum is σ = 645915648. Its totient is φ = 76190400.

The previous prime is 252590291. The next prime is 252590321. The reversal of 252590316 is 613095252.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25146 + ... + 33726.

It is an arithmetic number, because the mean of its divisors is an integer number (13456576).

Almost surely, 2252590316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252590316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322957824).

252590316 is an abundant number, since it is smaller than the sum of its proper divisors (393325332).

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

252590316 is a wasteful number, since it uses less digits than its factorization.

252590316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 252590316 is about 15893.0901966861. The cubic root of 252590316 is about 632.1287825742.

The spelling of 252590316 in words is "two hundred fifty-two million, five hundred ninety thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1338 2453 2676 4906 7359 8581 9812 14718 17162 25743 29436 34324 51486 94391 102972 188782 283173 377564 566346 1132692 1913563 3827126 5740689 7654252 11481378 21049193 22962756 42098386 63147579 84196772 126295158 252590316