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556838490 = 2351310913099
BaseRepresentation
bin100001001100001…
…010111001011010
31102210210022210210
4201030022321122
52120022312430
6131130551550
716541022555
oct4114127132
91383708723
10556838490
11266358aaa
121365985b6
138b496040
1453d4d69c
1533d442b0
hex2130ae5a

556838490 has 64 divisors (see below), whose sum is σ = 1452528000. Its totient is φ = 135800064.

The previous prime is 556838473. The next prime is 556838521. The reversal of 556838490 is 94838655.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 35961 + ... + 49059.

It is an arithmetic number, because the mean of its divisors is an integer number (22695750).

Almost surely, 2556838490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556838490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726264000).

556838490 is an abundant number, since it is smaller than the sum of its proper divisors (895689510).

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

556838490 is a wasteful number, since it uses less digits than its factorization.

556838490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13231.

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 556838490 is about 23597.4254951679. The cubic root of 556838490 is about 822.7030026482.

The spelling of 556838490 in words is "five hundred fifty-six million, eight hundred thirty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 545 654 1090 1417 1635 2834 3270 4251 7085 8502 13099 14170 21255 26198 39297 42510 65495 78594 130990 170287 196485 340574 392970 510861 851435 1021722 1427791 1702870 2554305 2855582 4283373 5108610 7138955 8566746 14277910 18561283 21416865 37122566 42833730 55683849 92806415 111367698 185612830 278419245 556838490