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125005056 = 2831114797
BaseRepresentation
bin1110111001101…
…10110100000000
322201012220200220
413130312310000
5224000130211
620223143040
73045345141
oct734666400
9281186626
10125005056
1164620170
1235a44a80
131cb8a0b7
141285dac8
15ae93806
hex7736d00

125005056 has 72 divisors (see below), whose sum is σ = 362965344. Its totient is φ = 37877760.

The previous prime is 125005019. The next prime is 125005061. The reversal of 125005056 is 650500521.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 1050 + ... + 15846.

Almost surely, 2125005056 is an apocalyptic number.

125005056 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 125005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181482672).

125005056 is an abundant number, since it is smaller than the sum of its proper divisors (237960288).

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

125005056 is a wasteful number, since it uses less digits than its factorization.

125005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827 (or 14813 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 125005056 is about 11180.5659964064. The cubic root of 125005056 is about 500.0067412424.

Adding to 125005056 its reverse (650500521), we get a palindrome (775505577).

The spelling of 125005056 in words is "one hundred twenty-five million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 14797 29594 44391 59188 88782 118376 162767 177564 236752 325534 355128 473504 488301 651068 710256 947008 976602 1302136 1420512 1894016 1953204 2604272 2841024 3788032 3906408 5208544 5682048 7812816 10417088 11364096 15625632 20834176 31251264 41668352 62502528 125005056