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125794944 = 2734111103
BaseRepresentation
bin1110111111101…
…11101010000000
322202201001020000
413133313222000
5224200414234
620252120000
73055145052
oct737675200
9282631200
10125794944
116500a670
1236166000
13200a57a2
14129c78d2
15b09c899
hex77f7a80

125794944 has 160 divisors (see below), whose sum is σ = 408767040. Its totient is φ = 38085120.

The previous prime is 125794937. The next prime is 125794997. The reversal of 125794944 is 449497521.

It is a self number, because there is not a number n which added to its sum of digits gives 125794944.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113497 + ... + 114599.

It is an arithmetic number, because the mean of its divisors is an integer number (2554794).

Almost surely, 2125794944 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 125794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204383520).

125794944 is an abundant number, since it is smaller than the sum of its proper divisors (282972096).

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

125794944 is a wasteful number, since it uses less digits than its factorization.

125794944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1119 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 125794944 is about 11215.8345208905. The cubic root of 125794944 is about 501.0576863548.

Adding to 125794944 its product of digits (362880), we get a square (126157824 = 112322).

The spelling of 125794944 in words is "one hundred twenty-five million, seven hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1103 1152 1188 1296 1408 1584 1728 1782 2112 2206 2376 2592 3168 3309 3456 3564 4224 4412 4752 5184 6336 6618 7128 8824 9504 9927 10368 12133 12672 13236 14256 17648 19008 19854 24266 26472 28512 29781 35296 36399 38016 39708 48532 52944 57024 59562 70592 72798 79416 89343 97064 105888 109197 114048 119124 141184 145596 158832 178686 194128 211776 218394 238248 291192 317664 327591 357372 388256 423552 436788 476496 582384 635328 655182 714744 776512 873576 952992 982773 1164768 1270656 1310364 1429488 1553024 1747152 1905984 1965546 2329536 2620728 2858976 3494304 3811968 3931092 4659072 5241456 5717952 6988608 7862184 10482912 11435904 13977216 15724368 20965824 31448736 41931648 62897472 125794944