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125474336 = 2513893389
BaseRepresentation
bin1110111101010…
…01011000100000
322202002202102122
413132221120200
5224110134321
620241203412
73052341251
oct736513040
9282082378
10125474336
11649107a9
1236030568
131ccc2890
1412942b28
15b0378ab
hex77a9620

125474336 has 48 divisors (see below), whose sum is σ = 269098200. Its totient is φ = 57243648.

The previous prime is 125474333. The next prime is 125474341. The reversal of 125474336 is 633474521.

It can be written as a sum of positive squares in 4 ways, for example, as 102010000 + 23464336 = 10100^2 + 4844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125474296 and 125474305.

It is not an unprimeable number, because it can be changed into a prime (125474333) by changing a digit.

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, 35330 + ... + 38718.

Almost surely, 2125474336 is an apocalyptic number.

125474336 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 125474336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134549100).

125474336 is an abundant number, since it is smaller than the sum of its proper divisors (143623864).

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

125474336 is a wasteful number, since it uses less digits than its factorization.

125474336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3493 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 125474336 is about 11201.5327522621. The cubic root of 125474336 is about 500.6316497013.

The spelling of 125474336 in words is "one hundred twenty-five million, four hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 89 104 178 208 356 416 712 1157 1424 2314 2848 3389 4628 6778 9256 13556 18512 27112 37024 44057 54224 88114 108448 176228 301621 352456 603242 704912 1206484 1409824 2412968 3921073 4825936 7842146 9651872 15684292 31368584 62737168 125474336