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252390828 = 22329289281
BaseRepresentation
bin11110000101100…
…10110110101100
3122120220210010110
433002302312230
51004103001303
641013340020
76153200214
oct1702626654
9576823113
10252390828
1111a516a68
1270637610
134039b9b1
142573d244
1517257703
hexf0b2dac

252390828 has 72 divisors (see below), whose sum is σ = 618967440. Its totient is φ = 80030720.

The previous prime is 252390781. The next prime is 252390829. The reversal of 252390828 is 828093252.

252390828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2523908282 = 127402260117051168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252390829) 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, 898048 + ... + 898328.

It is an arithmetic number, because the mean of its divisors is an integer number (8596770).

Almost surely, 2252390828 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 252390828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309483720).

252390828 is an abundant number, since it is smaller than the sum of its proper divisors (366576612).

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

252390828 is a wasteful number, since it uses less digits than its factorization.

252390828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 252390828 is about 15886.8130221262. The cubic root of 252390828 is about 631.9623268416.

It can be divided in two parts, 2523 and 90828, that multiplied together give a square (229159044 = 151382).

The spelling of 252390828 in words is "two hundred fifty-two million, three hundred ninety thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 89 116 174 178 267 281 348 356 534 562 841 843 1068 1124 1682 1686 2523 2581 3364 3372 5046 5162 7743 8149 10092 10324 15486 16298 24447 25009 30972 32596 48894 50018 74849 75027 97788 100036 149698 150054 224547 236321 299396 300108 449094 472642 708963 725261 898188 945284 1417926 1450522 2175783 2835852 2901044 4351566 8703132 21032569 42065138 63097707 84130276 126195414 252390828