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252609140 = 22572962219
BaseRepresentation
bin11110000111010…
…00001001110100
3122121022212121002
433003220021310
51004131443030
641022142432
76155066540
oct1703501164
9577285532
10252609140
1111a655a93
1270721a18
1340447184
1425798a20
151729c245
hexf0e8274

252609140 has 48 divisors (see below), whose sum is σ = 627177600. Its totient is φ = 83620992.

The previous prime is 252609139. The next prime is 252609143. The reversal of 252609140 is 41906252.

It is a happy number.

It is a super-2 number, since 2×2526091402 = 127622755223079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252609143) 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 15 ways as a sum of consecutive naturals, for example, 27050 + ... + 35169.

It is an arithmetic number, because the mean of its divisors is an integer number (13066200).

Almost surely, 2252609140 is an apocalyptic number.

252609140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252609140 is an abundant number, since it is smaller than the sum of its proper divisors (374568460).

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

252609140 is a wasteful number, since it uses less digits than its factorization.

252609140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62264 (or 62262 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 252609140 is about 15893.6823926993. The cubic root of 252609140 is about 632.1444850720.

The spelling of 252609140 in words is "two hundred fifty-two million, six hundred nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 62219 124438 248876 311095 435533 622190 871066 1244380 1742132 1804351 2177665 3608702 4355330 7217404 8710660 9021755 12630457 18043510 25260914 36087020 50521828 63152285 126304570 252609140