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125444232 = 233219107857
BaseRepresentation
bin1110111101000…
…10000010001000
322202001020010200
413132202002020
5224103203412
620240412200
73052154424
oct736420210
9282036120
10125444232
11648a0121
1236017060
131ccb1c74
1412935b84
15b02d9dc
hex77a2088

125444232 has 96 divisors (see below), whose sum is σ = 361389600. Its totient is φ = 39197952.

The previous prime is 125444219. The next prime is 125444257. The reversal of 125444232 is 232444521.

It is a junction number, because it is equal to n+sod(n) for n = 125444196 and 125444205.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145948 + ... + 146804.

It is an arithmetic number, because the mean of its divisors is an integer number (3764475).

Almost surely, 2125444232 is an apocalyptic number.

125444232 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 125444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180694800).

125444232 is an abundant number, since it is smaller than the sum of its proper divisors (235945368).

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

125444232 is a wasteful number, since it uses less digits than its factorization.

125444232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 988 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 125444232 is about 11200.1889269780. The cubic root of 125444232 is about 500.5916090547.

Adding to 125444232 its reverse (232444521), we get a palindrome (357888753).

The spelling of 125444232 in words is "one hundred twenty-five million, four hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 107 114 152 171 214 228 321 342 428 456 642 684 856 857 963 1284 1368 1714 1926 2033 2568 2571 3428 3852 4066 5142 6099 6856 7704 7713 8132 10284 12198 15426 16264 16283 18297 20568 24396 30852 32566 36594 48792 48849 61704 65132 73188 91699 97698 130264 146376 146547 183398 195396 275097 293094 366796 390792 550194 586188 733592 825291 1100388 1172376 1650582 1742281 2200776 3301164 3484562 5226843 6602328 6969124 10453686 13938248 15680529 20907372 31361058 41814744 62722116 125444232