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252196280 = 2357900701
BaseRepresentation
bin11110000100000…
…11010110111000
3122120112220020222
433002003112320
51004030240110
641005235212
76151430060
oct1702032670
9576486228
10252196280
1111a3a3886
1270562b08
134033128b
14256cc3a0
1517219c55
hexf0835b8

252196280 has 32 divisors (see below), whose sum is σ = 648505440. Its totient is φ = 86467200.

The previous prime is 252196277. The next prime is 252196297. The reversal of 252196280 is 82691252.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 252196280.

It is a congruent number.

It is an unprimeable number.

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, 450071 + ... + 450630.

It is an arithmetic number, because the mean of its divisors is an integer number (20265795).

Almost surely, 2252196280 is an apocalyptic number.

252196280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252196280 is an abundant number, since it is smaller than the sum of its proper divisors (396309160).

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

252196280 is a wasteful number, since it uses less digits than its factorization.

252196280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900719 (or 900715 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 252196280 is about 15880.6889019337. The cubic root of 252196280 is about 631.7999086173.

The spelling of 252196280 in words is "two hundred fifty-two million, one hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 900701 1801402 3602804 4503505 6304907 7205608 9007010 12609814 18014020 25219628 31524535 36028040 50439256 63049070 126098140 252196280