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125106048 = 2732131829
BaseRepresentation
bin1110111010011…
…11011110000000
322201102001020100
413131033132000
5224011343143
620225242400
73046245444
oct735173600
9281361210
10125106048
116468a031
1235a93400
131cbc4062
1412888824
15aeb36d3
hex774f780

125106048 has 96 divisors (see below), whose sum is σ = 363191400. Its totient is φ = 41333760.

The previous prime is 125106017. The next prime is 125106097. The reversal of 125106048 is 840601521.

125106048 is a `hidden beast` number, since 1 + 2 + 51 + 0 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150498 + ... + 151326.

Almost surely, 2125106048 is an apocalyptic number.

125106048 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 125106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181595700).

125106048 is an abundant number, since it is smaller than the sum of its proper divisors (238085352).

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

125106048 is a wasteful number, since it uses less digits than its factorization.

125106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125106048 is about 11185.0814927742. The cubic root of 125106048 is about 500.1413573658.

Adding to 125106048 its reverse (840601521), we get a palindrome (965707569).

The spelling of 125106048 in words is "one hundred twenty-five million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 262 288 384 393 524 576 786 829 1048 1152 1179 1572 1658 2096 2358 2487 3144 3316 4192 4716 4974 6288 6632 7461 8384 9432 9948 12576 13264 14922 16768 18864 19896 25152 26528 29844 37728 39792 50304 53056 59688 75456 79584 106112 108599 119376 150912 159168 217198 238752 318336 325797 434396 477504 651594 868792 955008 977391 1303188 1737584 1954782 2606376 3475168 3909564 5212752 6950336 7819128 10425504 13900672 15638256 20851008 31276512 41702016 62553024 125106048