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252324352 = 297233061
BaseRepresentation
bin11110000101000…
…10101000000000
3122120210101221101
433002202220000
51004043334402
641012104144
76152502340
oct1702425000
9576711841
10252324352
1111a481025
1270605054
1340377667
1425722d20
1517242b87
hexf0a2a00

252324352 has 80 divisors (see below), whose sum is σ = 601425792. Its totient is φ = 103403520.

The previous prime is 252324343. The next prime is 252324377. The reversal of 252324352 is 253423252.

It is a happy number.

It is a super-2 number, since 2×2523243522 = 127335157224439808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 252324352.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80902 + ... + 83962.

Almost surely, 2252324352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300712896).

252324352 is an abundant number, since it is smaller than the sum of its proper divisors (349101440).

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

252324352 is an equidigital number, since it uses as much as digits as its factorization.

252324352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3093 counting only the distinct ones).

The product of its digits is 14400, while the sum is 28.

The square root of 252324352 is about 15884.7207089077. The cubic root of 252324352 is about 631.9068388024.

It can be divided in two parts, 25232 and 4352, that added together give a square (29584 = 1722).

The spelling of 252324352 in words is "two hundred fifty-two million, three hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 1288 1472 1792 2576 2944 3061 3584 5152 5888 6122 10304 11776 12244 20608 21427 24488 41216 42854 48976 70403 82432 85708 97952 140806 171416 195904 281612 342832 391808 492821 563224 685664 783616 985642 1126448 1371328 1567232 1971284 2252896 2742656 3942568 4505792 5485312 7885136 9011584 10970624 15770272 18023168 31540544 36046336 63081088 126162176 252324352