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125394048 = 2733132791
BaseRepresentation
bin1110111100101…
…01110010000000
322201221200022000
413132111302000
5224100102143
620235344000
73051555213
oct736256200
9281850260
10125394048
116486644a
1235bb2000
131cc95180
141292177a
15b01dbd3
hex7795c80

125394048 has 128 divisors (see below), whose sum is σ = 398697600. Its totient is φ = 38568960.

The previous prime is 125394047. The next prime is 125394067. The reversal of 125394048 is 840493521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125394041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43533 + ... + 46323.

It is an arithmetic number, because the mean of its divisors is an integer number (3114825).

Almost surely, 2125394048 is an apocalyptic number.

125394048 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 125394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199348800).

125394048 is an abundant number, since it is smaller than the sum of its proper divisors (273303552).

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

125394048 is a wasteful number, since it uses less digits than its factorization.

125394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 125394048 is about 11197.9483835210. The cubic root of 125394048 is about 500.5248462135.

The spelling of 125394048 in words is "one hundred twenty-five million, three hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2791 2808 3456 3744 4992 5582 5616 7488 8373 11164 11232 14976 16746 22328 22464 25119 33492 36283 44656 44928 50238 66984 72566 75357 89312 100476 108849 133968 145132 150714 178624 200952 217698 267936 290264 301428 326547 357248 401904 435396 535872 580528 602856 653094 803808 870792 979641 1071744 1161056 1205712 1306188 1607616 1741584 1959282 2322112 2411424 2612376 3215232 3483168 3918564 4644224 4822848 5224752 6966336 7837128 9645696 10449504 13932672 15674256 20899008 31348512 41798016 62697024 125394048