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125084442 = 23723314177
BaseRepresentation
bin1110111010010…
…10001100011010
322201100221121010
413131022030122
5224010200232
620224554350
73046125450
oct735121432
9281327533
10125084442
116467487a
1235a829b6
131cbb7282
14128809d0
15aeac0cc
hex774a31a

125084442 has 64 divisors (see below), whose sum is σ = 308035584. Its totient is φ = 33073920.

The previous prime is 125084441. The next prime is 125084461. The reversal of 125084442 is 244480521.

It is a super-2 number, since 2×1250844422 = 31292235260902728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125084441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27858 + ... + 32034.

It is an arithmetic number, because the mean of its divisors is an integer number (4813056).

Almost surely, 2125084442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125084442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154017792).

125084442 is an abundant number, since it is smaller than the sum of its proper divisors (182951142).

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

125084442 is a wasteful number, since it uses less digits than its factorization.

125084442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243.

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 125084442 is about 11184.1156109904. The cubic root of 125084442 is about 500.1125639901.

The spelling of 125084442 in words is "one hundred twenty-five million, eighty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 322 434 483 651 713 966 1302 1426 2139 4177 4278 4991 8354 9982 12531 14973 25062 29239 29946 58478 87717 96071 129487 175434 192142 258974 288213 388461 576426 672497 776922 906409 1344994 1812818 2017491 2719227 2978201 4034982 5438454 5956402 8934603 17869206 20847407 41694814 62542221 125084442