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556429696 = 2741229463
BaseRepresentation
bin100001001010100…
…111000110000000
31102210000120001021
4201022213012000
52114421222241
6131114115224
716534401004
oct4112470600
91383016037
10556429696
112660a9959
1213641bb14
138b381c54
1453c84704
1533cb30d1
hex212a7180

556429696 has 64 divisors (see below), whose sum is σ = 1142971200. Its totient is φ = 269660160.

The previous prime is 556429673. The next prime is 556429697. The reversal of 556429696 is 696924655.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5564296962 = 619228013181304832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556429697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1201561 + ... + 1202023.

It is an arithmetic number, because the mean of its divisors is an integer number (17858925).

Almost surely, 2556429696 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 556429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571485600).

556429696 is an abundant number, since it is smaller than the sum of its proper divisors (586541504).

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

556429696 is a wasteful number, since it uses less digits than its factorization.

556429696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 735 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 52.

The square root of 556429696 is about 23588.7620701045. The cubic root of 556429696 is about 822.5016286464.

The spelling of 556429696 in words is "five hundred fifty-six million, four hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 229 328 458 463 656 916 926 1312 1832 1852 2624 3664 3704 5248 7328 7408 9389 14656 14816 18778 18983 29312 29632 37556 37966 59264 75112 75932 106027 150224 151864 212054 300448 303728 424108 600896 607456 848216 1201792 1214912 1696432 2429824 3392864 4347107 6785728 8694214 13571456 17388428 34776856 69553712 139107424 278214848 556429696