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125902296 = 23331323449
BaseRepresentation
bin1111000000100…
…01110111011000
322202220111111000
413200101313120
5224212333141
620254305000
73056103042
oct740216730
9282814430
10125902296
1165083293
12361b8160
1320112600
1412a14a92
15b0be5b6
hex7811dd8

125902296 has 96 divisors (see below), whose sum is σ = 378810000. Its totient is φ = 38727936.

The previous prime is 125902277. The next prime is 125902319. The reversal of 125902296 is 692209521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125902296.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34780 + ... + 38228.

Almost surely, 2125902296 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 125902296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189405000).

125902296 is an abundant number, since it is smaller than the sum of its proper divisors (252907704).

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

125902296 is a wasteful number, since it uses less digits than its factorization.

125902296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 125902296 is about 11220.6192342491. The cubic root of 125902296 is about 501.2001781730.

The spelling of 125902296 in words is "one hundred twenty-five million, nine hundred two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 3449 4056 4563 6084 6898 9126 10347 12168 13796 18252 20694 27592 31041 36504 41388 44837 62082 82776 89674 93123 124164 134511 179348 186246 248328 269022 358696 372492 403533 538044 582881 744984 807066 1076088 1165762 1210599 1614132 1748643 2331524 2421198 3228264 3497286 4663048 4842396 5245929 6994572 9684792 10491858 13989144 15737787 20983716 31475574 41967432 62951148 125902296