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125395248 = 243113147163
BaseRepresentation
bin1110111100101…
…10000100110000
322201221201221110
413132112010300
5224100121443
620235353320
73051561546
oct736260460
9281851843
10125395248
1164867340
1235bb2840
131cc95894
1412921d96
15b01e233
hex7796130

125395248 has 160 divisors (see below), whose sum is σ = 374833152. Its totient is φ = 35769600.

The previous prime is 125395243. The next prime is 125395253. The reversal of 125395248 is 842593521.

It is an interprime number because it is at equal distance from previous prime (125395243) and next prime (125395253).

It is not an unprimeable number, because it can be changed into a prime (125395243) 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, 769215 + ... + 769377.

Almost surely, 2125395248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125395248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187416576).

125395248 is an abundant number, since it is smaller than the sum of its proper divisors (249437904).

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

125395248 is a wasteful number, since it uses less digits than its factorization.

125395248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 125395248 is about 11198.0019646364. The cubic root of 125395248 is about 500.5264428546.

The spelling of 125395248 in words is "one hundred twenty-five million, three hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 47 48 62 66 88 93 94 124 132 141 163 176 186 188 248 264 282 326 341 372 376 489 496 517 528 564 652 682 744 752 978 1023 1034 1128 1304 1364 1457 1488 1551 1793 1956 2046 2068 2256 2608 2728 2914 3102 3586 3912 4092 4136 4371 5053 5379 5456 5828 6204 7172 7661 7824 8184 8272 8742 10106 10758 11656 12408 14344 15159 15322 16027 16368 17484 20212 21516 22983 23312 24816 28688 30318 30644 32054 34968 40424 43032 45966 48081 55583 60636 61288 64108 69936 80848 84271 86064 91932 96162 111166 121272 122576 128216 166749 168542 183864 192324 222332 237491 242544 252813 256432 333498 337084 367728 384648 444664 474982 505626 666996 674168 712473 769296 889328 949964 1011252 1333992 1348336 1424946 1899928 2022504 2612401 2667984 2849892 3799856 4045008 5224802 5699784 7837203 10449604 11399568 15674406 20899208 31348812 41798416 62697624 125395248