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125942838 = 23721034159
BaseRepresentation
bin1111000000110…
…11110000110110
322202222120002120
413200123300312
5224220132323
620255220410
73056332200
oct740336066
9282876076
10125942838
116510079a
1236217706
1320127bb8
1412a25770
15b0cb5e3
hex781bc36

125942838 has 48 divisors (see below), whose sum is σ = 295925760. Its totient is φ = 35625744.

The previous prime is 125942833. The next prime is 125942879. The reversal of 125942838 is 838249521.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 125942838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125942833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28203 + ... + 32361.

It is an arithmetic number, because the mean of its divisors is an integer number (6165120).

Almost surely, 2125942838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125942838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147962880).

125942838 is an abundant number, since it is smaller than the sum of its proper divisors (169982922).

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

125942838 is a wasteful number, since it uses less digits than its factorization.

125942838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4274 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 125942838 is about 11222.4256736233. The cubic root of 125942838 is about 501.2539698236.

The spelling of 125942838 in words is "one hundred twenty-five million, nine hundred forty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 147 206 294 309 618 721 1442 2163 4159 4326 5047 8318 10094 12477 15141 24954 29113 30282 58226 87339 174678 203791 407582 428377 611373 856754 1222746 1285131 2570262 2998639 5997278 8995917 17991834 20990473 41980946 62971419 125942838