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125833812 = 223132413347
BaseRepresentation
bin1111000000000…
…01001001010100
322202210000112120
413200001021110
5224203140222
620253015540
73055366266
oct740011124
9282700476
10125833812
1165036895
12361845b0
13200ba3a0
14129d7b36
15b0a915c
hex7801254

125833812 has 48 divisors (see below), whose sum is σ = 317604672. Its totient is φ = 38545920.

The previous prime is 125833801. The next prime is 125833817. The reversal of 125833812 is 218338521.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125833817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35923 + ... + 39269.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764).

Almost surely, 2125833812 is an apocalyptic number.

125833812 is a gapful number since it is divisible by the number (12) 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 125833812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336).

125833812 is an abundant number, since it is smaller than the sum of its proper divisors (191770860).

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

125833812 is a wasteful number, since it uses less digits than its factorization.

125833812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3606 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 125833812 is about 11217.5671159124. The cubic root of 125833812 is about 501.1092864803.

The spelling of 125833812 in words is "one hundred twenty-five million, eight hundred thirty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 964 1446 2892 3133 3347 6266 6694 9399 10041 12532 13388 18798 20082 37596 40164 43511 87022 130533 174044 261066 522132 806627 1613254 2419881 3226508 4839762 9679524 10486151 20972302 31458453 41944604 62916906 125833812