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252424460 = 22524375179
BaseRepresentation
bin11110000101110…
…11000100001100
3122120222111021002
433002323010030
51004110040320
641014155432
76153400241
oct1702730414
9576874232
10252424460
1111a53a262
1270652b78
13403b10b2
142574b5c8
1517262675
hexf0bb10c

252424460 has 24 divisors (see below), whose sum is σ = 530411280. Its totient is φ = 100908864.

The previous prime is 252424457. The next prime is 252424463. The reversal of 252424460 is 64424252.

It is an interprime number because it is at equal distance from previous prime (252424457) and next prime (252424463).

It is not an unprimeable number, because it can be changed into a prime (252424463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46151 + ... + 51329.

It is an arithmetic number, because the mean of its divisors is an integer number (22100470).

Almost surely, 2252424460 is an apocalyptic number.

252424460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252424460 is an abundant number, since it is smaller than the sum of its proper divisors (277986820).

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

252424460 is a wasteful number, since it uses less digits than its factorization.

252424460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 252424460 is about 15887.8714748074. The cubic root of 252424460 is about 631.9903960245.

The spelling of 252424460 in words is "two hundred fifty-two million, four hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 2437 4874 5179 9748 10358 12185 20716 24370 25895 48740 51790 103580 12621223 25242446 50484892 63106115 126212230 252424460