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252867825 = 3452717839
BaseRepresentation
bin11110001001001…
…11010011110001
3122121211000110000
433010213103301
51004213232300
641031500213
76160224660
oct1704472361
9577730400
10252867825
1111a812381
1270827669
1340507b42
1425824dd7
15172edc00
hexf1274f1

252867825 has 60 divisors (see below), whose sum is σ = 535342720. Its totient is φ = 115590240.

The previous prime is 252867817. The next prime is 252867833. The reversal of 252867825 is 528768252.

It is an interprime number because it is at equal distance from previous prime (252867817) and next prime (252867833).

It is not a de Polignac number, because 252867825 - 23 = 252867817 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5256 + ... + 23094.

Almost surely, 2252867825 is an apocalyptic number.

252867825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252867825 is an abundant number, since it is smaller than the sum of its proper divisors (282474895).

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

252867825 is a wasteful number, since it uses less digits than its factorization.

252867825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17868 (or 17854 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 252867825 is about 15901.8182922583. The cubic root of 252867825 is about 632.3601944851.

The spelling of 252867825 in words is "two hundred fifty-two million, eight hundred sixty-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 14175 17839 53517 89195 124873 160551 267585 374619 445975 481653 624365 802755 1123857 1337925 1444959 1873095 2408265 3121825 3371571 4013775 5619285 7224795 9365475 10114713 12041325 16857855 28096425 36123975 50573565 84289275 252867825