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125938448 = 24171393331
BaseRepresentation
bin1111000000110…
…10101100010000
322202222100001222
413200122230100
5224220012243
620255144212
73056313326
oct740325420
9282870058
10125938448
11650a8469
1236215068
1320125bbc
1412a23d16
15b0ca168
hex781ab10

125938448 has 40 divisors (see below), whose sum is σ = 260295840. Its totient is φ = 58821120.

The previous prime is 125938447. The next prime is 125938459. The reversal of 125938448 is 844839521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 125938399 and 125938408.

It is not an unprimeable number, because it can be changed into a prime (125938447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36143 + ... + 39473.

It is an arithmetic number, because the mean of its divisors is an integer number (6507396).

Almost surely, 2125938448 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 125938448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130147920).

125938448 is an abundant number, since it is smaller than the sum of its proper divisors (134357392).

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

125938448 is a wasteful number, since it uses less digits than its factorization.

125938448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3489 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 125938448 is about 11222.2300814054. The cubic root of 125938448 is about 501.2481456722.

The spelling of 125938448 in words is "one hundred twenty-five million, nine hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 139 272 278 556 1112 2224 2363 3331 4726 6662 9452 13324 18904 26648 37808 53296 56627 113254 226508 453016 463009 906032 926018 1852036 3704072 7408144 7871153 15742306 31484612 62969224 125938448