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125791428 = 223723167103
BaseRepresentation
bin1110111111101…
…10110011000100
322202200212101210
413133312303010
5224200311203
620252051420
73055131600
oct737666304
9282625353
10125791428
1165007a64
1236163b70
13200a3cc9
14129c6500
15b09b803
hex77f6cc4

125791428 has 144 divisors (see below), whose sum is σ = 361181184. Its totient is φ = 33929280.

The previous prime is 125791427. The next prime is 125791429. The reversal of 125791428 is 824197521.

It is an interprime number because it is at equal distance from previous prime (125791427) and next prime (125791429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125791423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221225 + ... + 1221327.

Almost surely, 2125791428 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 125791428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180590592).

125791428 is an abundant number, since it is smaller than the sum of its proper divisors (235389756).

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

125791428 is a wasteful number, since it uses less digits than its factorization.

125791428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 125791428 is about 11215.6777771118. The cubic root of 125791428 is about 501.0530180823.

The spelling of 125791428 in words is "one hundred twenty-five million, seven hundred ninety-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 67 84 93 98 103 124 134 147 186 196 201 206 217 268 294 309 372 402 412 434 469 588 618 651 721 804 868 938 1236 1302 1407 1442 1519 1876 2077 2163 2604 2814 2884 3038 3193 3283 4154 4326 4557 5047 5628 6076 6231 6386 6566 6901 8308 8652 9114 9579 9849 10094 12462 12772 13132 13802 14539 15141 18228 19158 19698 20188 20703 22351 24924 27604 29078 30282 38316 39396 41406 43617 44702 48307 58156 60564 67053 82812 87234 89404 96614 101773 134106 144921 156457 174468 193228 203546 213931 268212 289842 305319 312914 338149 407092 427862 469371 579684 610638 625828 641793 676298 855724 938742 1014447 1221276 1283586 1352596 1497517 1877484 2028894 2567172 2995034 4057788 4492551 5990068 8985102 10482619 17970204 20965238 31447857 41930476 62895714 125791428