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125263992 = 23372293673
BaseRepresentation
bin1110111011101…
…10000001111000
322201201001220010
413131312001320
5224031421432
620232501520
73050504100
oct735660170
9281631803
10125263992
1164787767
1235b4a8a0
131cc4ac09
14128ca200
15aee53cc
hex7776078

125263992 has 96 divisors (see below), whose sum is σ = 376952400. Its totient is φ = 34546176.

The previous prime is 125263987. The next prime is 125263997. The reversal of 125263992 is 299362521.

It is an interprime number because it is at equal distance from previous prime (125263987) and next prime (125263997).

It is a super-3 number, since 3×1252639923 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125263992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125263997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32268 + ... + 35940.

Almost surely, 2125263992 is an apocalyptic number.

125263992 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 125263992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188476200).

125263992 is an abundant number, since it is smaller than the sum of its proper divisors (251688408).

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

125263992 is a wasteful number, since it uses less digits than its factorization.

125263992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3714 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 125263992 is about 11192.1397418009. The cubic root of 125263992 is about 500.3517418307.

The spelling of 125263992 in words is "one hundred twenty-five million, two hundred sixty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 3673 4263 4872 5684 7346 8526 11019 11368 14692 17052 22038 25711 29384 34104 44076 51422 77133 88152 102844 106517 154266 179977 205688 213034 308532 319551 359954 426068 539931 617064 639102 719908 745619 852136 1079862 1278204 1439816 1491238 2159724 2236857 2556408 2982476 4319448 4473714 5219333 5964952 8947428 10438666 15657999 17894856 20877332 31315998 41754664 62631996 125263992