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825913368 = 23337546239
BaseRepresentation
bin110001001110100…
…111000000011000
32010120002202011000
4301032213000120
53142413211433
6213542105000
726316101460
oct6116470030
92116082130
10825913368
1139422aa35
121b071b160
13102156a47
147b992ba0
154c795113
hex313a7018

825913368 has 64 divisors (see below), whose sum is σ = 2621952000. Its totient is φ = 235974816.

The previous prime is 825913367. The next prime is 825913373. The reversal of 825913368 is 863319528.

It is a happy number.

It is a super-2 number, since 2×8259133682 = 1364265782882206848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825913367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271608 + ... + 274631.

It is an arithmetic number, because the mean of its divisors is an integer number (40968000).

Almost surely, 2825913368 is an apocalyptic number.

It is an amenable number.

825913368 is an abundant number, since it is smaller than the sum of its proper divisors (1796038632).

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

825913368 is a wasteful number, since it uses less digits than its factorization.

825913368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546261 (or 546251 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 825913368 is about 28738.7085304820. The cubic root of 825913368 is about 938.2347162145.

It can be divided in two parts, 825913 and 368, that added together give a square (826281 = 9092).

The spelling of 825913368 in words is "eight hundred twenty-five million, nine hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 546239 1092478 1638717 2184956 3277434 3823673 4369912 4916151 6554868 7647346 9832302 11471019 13109736 14748453 15294692 19664604 22942038 29496906 30589384 34413057 39329208 45884076 58993812 68826114 91768152 103239171 117987624 137652228 206478342 275304456 412956684 825913368