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556116444 = 2232131769899
BaseRepresentation
bin100001001001011…
…010100111011100
31102202102122100100
4201021122213130
52114331211234
6131103301100
716531624512
oct4111324734
91382378310
10556116444
11265a05574
121362aa790
138b2a24b0
1453c024b2
1533c50399
hex2125a9dc

556116444 has 72 divisors (see below), whose sum is σ = 1602946800. Its totient is φ = 161044992.

The previous prime is 556116437. The next prime is 556116481. The reversal of 556116444 is 444611655.

556116444 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 1 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 556116399 and 556116408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26994 + ... + 42905.

It is an arithmetic number, because the mean of its divisors is an integer number (22263150).

Almost surely, 2556116444 is an apocalyptic number.

It is an amenable number.

556116444 is an abundant number, since it is smaller than the sum of its proper divisors (1046830356).

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

556116444 is a wasteful number, since it uses less digits than its factorization.

556116444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69939 (or 69934 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 556116444 is about 23582.1212786297. The cubic root of 556116444 is about 822.3472523633.

The spelling of 556116444 in words is "five hundred fifty-six million, one hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 69899 139798 209697 279596 419394 629091 838788 908687 1188283 1258182 1817374 2376566 2516364 2726061 3564849 3634748 4753132 5452122 7129698 8178183 10694547 10904244 14259396 15447679 16356366 21389094 30895358 32712732 42778188 46343037 61790716 92686074 139029111 185372148 278058222 556116444