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125045232 = 243131953199
BaseRepresentation
bin1110111010000…
…00100111110000
322201021221210220
413131000213300
5224002421412
620224053040
73045603234
oct735004760
9281257726
10125045232
1164648374
1235a64180
131cba2480
14128705c4
15aea068c
hex77409f0

125045232 has 160 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 35582976.

The previous prime is 125045201. The next prime is 125045233. The reversal of 125045232 is 232540521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125045233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628269 + ... + 628467.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2125045232 is an apocalyptic number.

125045232 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 125045232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

125045232 is an abundant number, since it is smaller than the sum of its proper divisors (249930768).

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

125045232 is a wasteful number, since it uses less digits than its factorization.

125045232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 125045232 is about 11182.3625410733. The cubic root of 125045232 is about 500.0603020604.

Adding to 125045232 its reverse (232540521), we get a palindrome (357585753).

The spelling of 125045232 in words is "one hundred twenty-five million, forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 53 57 76 78 104 106 114 152 156 159 199 208 212 228 247 304 312 318 398 424 456 494 597 624 636 689 741 796 848 912 988 1007 1194 1272 1378 1482 1592 1976 2014 2067 2388 2544 2587 2756 2964 3021 3184 3781 3952 4028 4134 4776 5174 5512 5928 6042 7562 7761 8056 8268 9552 10348 10547 11024 11343 11856 12084 13091 15124 15522 16112 16536 20696 21094 22686 24168 26182 30248 31044 31641 33072 39273 41392 42188 45372 48336 49153 52364 60496 62088 63282 78546 84376 90744 98306 104728 124176 126564 137111 147459 157092 168752 181488 196612 200393 209456 253128 274222 294918 314184 393224 400786 411333 506256 548444 589836 601179 628368 786448 801572 822666 1096888 1179672 1202358 1603144 1645332 2193776 2359344 2404716 2605109 3206288 3290664 4809432 5210218 6581328 7815327 9618864 10420436 15630654 20840872 31261308 41681744 62522616 125045232