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125014528 = 291971181
BaseRepresentation
bin1110111001110…
…01001000000000
322201020101200201
413130321020000
5224000431103
620223254544
73045414562
oct734711000
9281211621
10125014528
11646272a1
1235a4a454
131cb914c2
1412863332
15ae9651d
hex7739200

125014528 has 80 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 58060800.

The previous prime is 125014511. The next prime is 125014529. The reversal of 125014528 is 825410521.

It is a super-2 number, since 2×1250145282 = 31257264422125568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125014496 and 125014505.

It is not an unprimeable number, because it can be changed into a prime (125014529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690598 + ... + 690778.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2125014528 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 125014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

125014528 is an abundant number, since it is smaller than the sum of its proper divisors (143093312).

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

125014528 is an equidigital number, since it uses as much as digits as its factorization.

125014528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 125014528 is about 11180.9895805336. The cubic root of 125014528 is about 500.0193699163.

The spelling of 125014528 in words is "one hundred twenty-five million, fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 181 256 284 304 362 512 568 608 724 1136 1216 1349 1448 2272 2432 2698 2896 3439 4544 4864 5396 5792 6878 9088 9728 10792 11584 12851 13756 18176 21584 23168 25702 27512 36352 43168 46336 51404 55024 86336 92672 102808 110048 172672 205616 220096 244169 345344 411232 440192 488338 690688 822464 880384 976676 1644928 1760768 1953352 3289856 3906704 6579712 7813408 15626816 31253632 62507264 125014528