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252889245 = 32572114689
BaseRepresentation
bin11110001001011…
…00100010011101
3122121212002211100
433010230202131
51004214423440
641032143313
76160344300
oct1704544235
9577762740
10252889245
1111a827484
1270837b39
134051480b
142582cb37
1517305230
hexf12c89d

252889245 has 36 divisors (see below), whose sum is σ = 509911740. Its totient is φ = 115605504.

The previous prime is 252889223. The next prime is 252889261. The reversal of 252889245 is 542988252.

252889245 is a `hidden beast` number, since 2 + 528 + 89 + 2 + 45 = 666.

252889245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40487769 + 212401476 = 6363^2 + 14574^2 .

It is not a de Polignac number, because 252889245 - 28 = 252888989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 252889245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55140 + ... + 59549.

It is an arithmetic number, because the mean of its divisors is an integer number (14164215).

Almost surely, 2252889245 is an apocalyptic number.

It is an amenable number.

252889245 is an abundant number, since it is smaller than the sum of its proper divisors (257022495).

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

252889245 is a wasteful number, since it uses less digits than its factorization.

252889245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114714 (or 114704 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 252889245 is about 15902.4917858806. The cubic root of 252889245 is about 632.3780493637.

The spelling of 252889245 in words is "two hundred fifty-two million, eight hundred eighty-nine thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 114689 344067 573445 802823 1032201 1720335 2408469 4014115 5161005 5619761 7225407 12042345 16859283 28098805 36127035 50577849 84296415 252889245