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556125648 = 243132338749
BaseRepresentation
bin100001001001011…
…100110111010000
31102202110002222020
4201021130313100
52114332010043
6131103411440
716531663401
oct4111346720
91382402866
10556125648
11265a11481
121362b3b80
138b2a6740
1453c059a8
1533c52e83
hex2125cdd0

556125648 has 80 divisors (see below), whose sum is σ = 1614480000. Its totient is φ = 163671552.

The previous prime is 556125643. The next prime is 556125659. The reversal of 556125648 is 846521655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556125643) 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 15 ways as a sum of consecutive naturals, for example, 5023 + ... + 33726.

It is an arithmetic number, because the mean of its divisors is an integer number (20181000).

Almost surely, 2556125648 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 556125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807240000).

556125648 is an abundant number, since it is smaller than the sum of its proper divisors (1058354352).

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

556125648 is a wasteful number, since it uses less digits than its factorization.

556125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38796 (or 38790 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 556125648 is about 23582.3164256610. The cubic root of 556125648 is about 822.3517890884.

The spelling of 556125648 in words is "five hundred fifty-six million, one hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 14352 38749 77498 116247 154996 232494 309992 464988 503737 619984 891227 929976 1007474 1511211 1782454 1859952 2014948 2673681 3022422 3564908 4029896 5347362 6044844 7129816 8059792 10694724 11585951 12089688 14259632 21389448 23171902 24179376 34757853 42778896 46343804 69515706 92687608 139031412 185375216 278062824 556125648