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125141828 = 2271719101137
BaseRepresentation
bin1110111010110…
…00001101000100
322201110212022112
413131120031010
5224014014303
620230120152
73046454660
oct735301504
9281425275
10125141828
11647039a9
1235ab0058
131cc07426
14128978a0
15aebe0d8
hex7758344

125141828 has 96 divisors (see below), whose sum is σ = 283772160. Its totient is φ = 47001600.

The previous prime is 125141801. The next prime is 125141833. The reversal of 125141828 is 828141521.

It is a junction number, because it is equal to n+sod(n) for n = 125141794 and 125141803.

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 31 ways as a sum of consecutive naturals, for example, 913376 + ... + 913512.

It is an arithmetic number, because the mean of its divisors is an integer number (2955960).

Almost surely, 2125141828 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 125141828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141886080).

125141828 is an abundant number, since it is smaller than the sum of its proper divisors (158630332).

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

125141828 is a wasteful number, since it uses less digits than its factorization.

125141828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its digits is 5120, while the sum is 32.

The square root of 125141828 is about 11186.6808303446. The cubic root of 125141828 is about 500.1890325244.

The spelling of 125141828 in words is "one hundred twenty-five million, one hundred forty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 101 119 133 137 202 238 266 274 323 404 476 532 548 646 707 959 1292 1414 1717 1918 1919 2261 2329 2603 2828 3434 3836 3838 4522 4658 5206 6868 7676 9044 9316 10412 12019 13433 13837 16303 18221 24038 26866 27674 32606 32623 36442 44251 48076 53732 55348 65212 65246 72884 88502 96859 130492 177004 193718 228361 235229 262903 309757 387436 456722 470458 525806 619514 913444 940916 1051612 1239028 1646603 1840321 3293206 3680642 4469351 6586412 7361284 8938702 17877404 31285457 62570914 125141828