Search a number
-
+
125856528 = 24373143281
BaseRepresentation
bin1111000000001…
…10101100010000
322202211011200220
413200012230100
5224204402103
620253313040
73055522440
oct740065420
9282734626
10125856528
1165051966
1236195780
13200c7825
1412a02120
15b0b0c53
hex7806b10

125856528 has 160 divisors (see below), whose sum is σ = 393879552. Its totient is φ = 33868800.

The previous prime is 125856527. The next prime is 125856539. The reversal of 125856528 is 825658521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 125856528.

It is not an unprimeable number, because it can be changed into a prime (125856527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447748 + ... + 448028.

Almost surely, 2125856528 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 125856528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196939776).

125856528 is an abundant number, since it is smaller than the sum of its proper divisors (268023024).

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

125856528 is a wasteful number, since it uses less digits than its factorization.

125856528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its digits is 192000, while the sum is 42.

The square root of 125856528 is about 11218.5795892350. The cubic root of 125856528 is about 501.1394387197.

The spelling of 125856528 in words is "one hundred twenty-five million, eight hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 43 48 56 62 84 86 93 112 124 129 168 172 186 217 248 258 281 301 336 344 372 434 496 516 562 602 651 688 744 843 868 903 1032 1124 1204 1302 1333 1488 1686 1736 1806 1967 2064 2248 2408 2604 2666 3372 3472 3612 3934 3999 4496 4816 5208 5332 5901 6744 7224 7868 7998 8711 9331 10416 10664 11802 12083 13488 14448 15736 15996 17422 18662 21328 23604 24166 26133 27993 31472 31992 34844 36249 37324 47208 48332 52266 55986 60977 63984 69688 72498 74648 84581 94416 96664 104532 111972 121954 139376 144996 149296 169162 182931 193328 209064 223944 243908 253743 289992 338324 365862 374573 418128 447888 487816 507486 579984 676648 731724 749146 975632 1014972 1123719 1353296 1463448 1498292 2029944 2247438 2622011 2926896 2996584 4059888 4494876 5244022 5993168 7866033 8989752 10488044 15732066 17979504 20976088 31464132 41952176 62928264 125856528