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125042232 = 23372772687
BaseRepresentation
bin1110111001111…
…11111000111000
322201021210200210
413130333320320
5224002322412
620224031120
73045561420
oct734777070
9281253623
10125042232
1164646097
1235a624a0
131cba0cb3
141286d480
15ae9e83c
hex773fe38

125042232 has 64 divisors (see below), whose sum is σ = 358686720. Its totient is φ = 35584128.

The previous prime is 125042219. The next prime is 125042243. The reversal of 125042232 is 232240521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 125042199 and 125042208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45193 + ... + 47879.

It is an arithmetic number, because the mean of its divisors is an integer number (5604480).

Almost surely, 2125042232 is an apocalyptic number.

125042232 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 125042232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179343360).

125042232 is an abundant number, since it is smaller than the sum of its proper divisors (233644488).

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

125042232 is a wasteful number, since it uses less digits than its factorization.

125042232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 125042232 is about 11182.2284004576. The cubic root of 125042232 is about 500.0563029930.

Adding to 125042232 its reverse (232240521), we get a palindrome (357282753).

The spelling of 125042232 in words is "one hundred twenty-five million, forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 277 554 831 1108 1662 1939 2216 2687 3324 3878 5374 5817 6648 7756 8061 10748 11634 15512 16122 18809 21496 23268 32244 37618 46536 56427 64488 75236 112854 150472 225708 451416 744299 1488598 2232897 2977196 4465794 5210093 5954392 8931588 10420186 15630279 17863176 20840372 31260558 41680744 62521116 125042232