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275265252 = 223253891621
BaseRepresentation
bin10000011010000…
…011011011100100
3201011221220221100
4100122003123210
51030431442002
643151520100
76551500413
oct2032033344
9634856840
10275265252
1113141a949
1278229030
134504a562
14287b547a
151927511c
hex106836e4

275265252 has 72 divisors (see below), whose sum is σ = 717345720. Its totient is φ = 88957440.

The previous prime is 275265197. The next prime is 275265259. The reversal of 275265252 is 252562572.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59351616 + 215913636 = 7704^2 + 14694^2 .

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

It is not an unprimeable number, because it can be changed into a prime (275265259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169002 + ... + 170622.

It is an arithmetic number, because the mean of its divisors is an integer number (9963135).

Almost surely, 2275265252 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 275265252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358672860).

275265252 is an abundant number, since it is smaller than the sum of its proper divisors (442080468).

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

275265252 is a wasteful number, since it uses less digits than its factorization.

275265252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1768 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 275265252 is about 16591.1196728853. The cubic root of 275265252 is about 650.5047377428.

The spelling of 275265252 in words is "two hundred seventy-five million, two hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 89 106 159 178 212 267 318 356 477 534 636 801 954 1068 1602 1621 1908 3204 3242 4717 4863 6484 9434 9726 14151 14589 18868 19452 28302 29178 42453 56604 58356 84906 85913 144269 169812 171826 257739 288538 343652 432807 515478 577076 773217 865614 1030956 1298421 1546434 1731228 2596842 3092868 5193684 7646257 15292514 22938771 30585028 45877542 68816313 91755084 137632626 275265252