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125348256 = 2533113109
BaseRepresentation
bin1110111100010…
…10100110100000
322201212100111000
413132022212200
5224042121011
620234352000
73051304545
oct736124640
9281770430
10125348256
1164835000
1235b8b600
131cc7a387
141290cbcc
15b010356
hex778a9a0

125348256 has 192 divisors, whose sum is σ = 405820800. Its totient is φ = 37635840.

The previous prime is 125348243. The next prime is 125348257. The reversal of 125348256 is 652843521.

125348256 is a `hidden beast` number, since 125 + 3 + 482 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125348256.

It is not an unprimeable number, because it can be changed into a prime (125348257) 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 31 ways as a sum of consecutive naturals, for example, 1149930 + ... + 1150038.

It is an arithmetic number, because the mean of its divisors is an integer number (2113650).

Almost surely, 2125348256 is an apocalyptic number.

125348256 is a gapful number since it is divisible by the number (16) 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 125348256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202910400).

125348256 is an abundant number, since it is smaller than the sum of its proper divisors (280472544).

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

125348256 is a wasteful number, since it uses less digits than its factorization.

125348256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 125348256 is about 11195.9035365619. The cubic root of 125348256 is about 500.4639107738.

The spelling of 125348256 in words is "one hundred twenty-five million, three hundred forty-eight thousand, two hundred fifty-six".