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125794608 = 24343591033
BaseRepresentation
bin1110111111101…
…11100100110000
322202201000202120
413133313210300
5224200411413
620252114240
73055144062
oct737674460
9282630676
10125794608
116500a395
1236165980
13200a55a4
14129c7732
15b09c723
hex77f7930

125794608 has 80 divisors (see below), whose sum is σ = 338490240. Its totient is φ = 40223232.

The previous prime is 125794597. The next prime is 125794609. The reversal of 125794608 is 806497521.

It is a self number, because there is not a number n which added to its sum of digits gives 125794608.

It is not an unprimeable number, because it can be changed into a prime (125794609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121260 + ... + 122292.

It is an arithmetic number, because the mean of its divisors is an integer number (4231128).

Almost surely, 2125794608 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 125794608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169245120).

125794608 is an abundant number, since it is smaller than the sum of its proper divisors (212695632).

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

125794608 is a wasteful number, since it uses less digits than its factorization.

125794608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 125794608 is about 11215.8195420575. The cubic root of 125794608 is about 501.0572402438.

The spelling of 125794608 in words is "one hundred twenty-five million, seven hundred ninety-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 59 86 118 129 172 177 236 258 344 354 472 516 688 708 944 1032 1033 1416 2064 2066 2537 2832 3099 4132 5074 6198 7611 8264 10148 12396 15222 16528 20296 24792 30444 40592 44419 49584 60888 60947 88838 121776 121894 133257 177676 182841 243788 266514 355352 365682 487576 533028 710704 731364 975152 1066056 1462728 2132112 2620721 2925456 5241442 7862163 10482884 15724326 20965768 31448652 41931536 62897304 125794608