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252260112 = 243131921277
BaseRepresentation
bin11110000100100…
…10111100010000
3122120200010211010
433002102330100
51004034310422
641010450520
76152114136
oct1702227420
9576603733
10252260112
1111a437835
1270593a40
1340354350
1425707756
151722db0c
hexf092f10

252260112 has 80 divisors (see below), whose sum is σ = 738772160. Its totient is φ = 73529856.

The previous prime is 252260111. The next prime is 252260137. The reversal of 252260112 is 211062252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252260111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218 + ... + 22494.

It is an arithmetic number, because the mean of its divisors is an integer number (9234652).

Almost surely, 2252260112 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 252260112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369386080).

252260112 is an abundant number, since it is smaller than the sum of its proper divisors (486512048).

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

252260112 is a wasteful number, since it uses less digits than its factorization.

252260112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21320 (or 21314 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 252260112 is about 15882.6985112732. The cubic root of 252260112 is about 631.8532079096.

The spelling of 252260112 in words is "two hundred fifty-two million, two hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 21277 42554 63831 85108 127662 170216 255324 276601 340432 404263 510648 553202 808526 829803 1021296 1106404 1212789 1617052 1659606 2212808 2425578 3234104 3319212 4425616 4851156 5255419 6468208 6638424 9702312 10510838 13276848 15766257 19404624 21021676 31532514 42043352 63065028 84086704 126130056 252260112