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125432256 = 2631783463
BaseRepresentation
bin1110111100111…
…11000111000000
322202000121201010
413132133013000
5224102313011
620240240520
73052104465
oct736370700
9282017633
10125432256
1164892124
1236010140
131cca9691
141293166c
15b02a1a6
hex779f1c0

125432256 has 112 divisors (see below), whose sum is σ = 356396544. Its totient is φ = 38793216.

The previous prime is 125432213. The next prime is 125432297. The reversal of 125432256 is 652234521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270681 + ... + 271143.

It is an arithmetic number, because the mean of its divisors is an integer number (3182112).

Almost surely, 2125432256 is an apocalyptic number.

125432256 is a gapful number since it is divisible by the number (16) 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 125432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178198272).

125432256 is an abundant number, since it is smaller than the sum of its proper divisors (230964288).

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

125432256 is a wasteful number, since it uses less digits than its factorization.

125432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 125432256 is about 11199.6542803785. The cubic root of 125432256 is about 500.5756782680.

Adding to 125432256 its reverse (652234521), we get a palindrome (777666777).

The spelling of 125432256 in words is "one hundred twenty-five million, four hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 136 166 192 204 249 272 332 408 463 498 544 664 816 926 996 1088 1328 1389 1411 1632 1852 1992 2656 2778 2822 3264 3704 3984 4233 5312 5556 5644 7408 7871 7968 8466 11112 11288 14816 15742 15936 16932 22224 22576 23613 29632 31484 33864 38429 44448 45152 47226 62968 67728 76858 88896 90304 94452 115287 125936 135456 153716 188904 230574 251872 270912 307432 377808 461148 503744 614864 653293 755616 922296 1229728 1306586 1511232 1844592 1959879 2459456 2613172 3689184 3919758 5226344 7378368 7839516 10452688 15679032 20905376 31358064 41810752 62716128 125432256