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125768808 = 233311431231
BaseRepresentation
bin1110111111100…
…01010001101000
322202122201101000
413133301101220
5224144100213
620251355000
73055005624
oct737612150
9282581330
10125768808
1164aa1a70
1236152a60
1320096919
14129bc184
15b094c73
hex77f1468

125768808 has 128 divisors (see below), whose sum is σ = 390297600. Its totient is φ = 37195200.

The previous prime is 125768791. The next prime is 125768813. The reversal of 125768808 is 808867521.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101553 + ... + 102783.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2125768808 is an apocalyptic number.

125768808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125768808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148800).

125768808 is an abundant number, since it is smaller than the sum of its proper divisors (264528792).

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

125768808 is a wasteful number, since it uses less digits than its factorization.

125768808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 125768808 is about 11214.6693219194. The cubic root of 125768808 is about 501.0229829178.

The spelling of 125768808 in words is "one hundred twenty-five million, seven hundred sixty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 387 396 473 516 594 774 792 946 1032 1161 1188 1231 1419 1548 1892 2322 2376 2462 2838 3096 3693 3784 4257 4644 4924 5676 7386 8514 9288 9848 11079 11352 12771 13541 14772 17028 22158 25542 27082 29544 33237 34056 40623 44316 51084 52933 54164 66474 81246 88632 102168 105866 108328 121869 132948 158799 162492 211732 243738 265896 317598 324984 365607 423464 476397 487476 582263 635196 731214 952794 974952 1164526 1270392 1429191 1462428 1746789 1905588 2329052 2858382 2924856 3493578 3811176 4658104 5240367 5716764 6987156 10480734 11433528 13974312 15721101 20961468 31442202 41922936 62884404 125768808