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556334405 = 51122937857
BaseRepresentation
bin100001001010001…
…111110101000101
31102202211201022222
4201022033311011
52114410200110
6131112102125
716533523124
oct4112176505
91382751288
10556334405
11266044300
12136394945
138b34a773
1453c5babb
1533c94c55
hex2128fd45

556334405 has 48 divisors (see below), whose sum is σ = 780539760. Its totient is φ = 379653120.

The previous prime is 556334399. The next prime is 556334407. The reversal of 556334405 is 504433655.

It can be written as a sum of positive squares in 8 ways, for example, as 94342369 + 461992036 = 9713^2 + 21494^2 .

It is a de Polignac number, because none of the positive numbers 2k-556334405 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556334407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648737 + ... + 649593.

It is an arithmetic number, because the mean of its divisors is an integer number (16261245).

Almost surely, 2556334405 is an apocalyptic number.

556334405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

556334405 is a deficient number, since it is larger than the sum of its proper divisors (224205355).

556334405 is a wasteful number, since it uses less digits than its factorization.

556334405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The square root of 556334405 is about 23586.7421446880. The cubic root of 556334405 is about 822.4546736416.

The spelling of 556334405 in words is "five hundred fifty-six million, three hundred thirty-four thousand, four hundred five".

Divisors: 1 5 11 29 37 55 121 145 185 319 407 605 857 1073 1595 2035 3509 4285 4477 5365 9427 11803 17545 22385 24853 31709 47135 59015 103697 124265 129833 158545 273383 348799 518485 649165 919561 1366915 1743995 3007213 3836789 4597805 10115171 15036065 19183945 50575855 111266881 556334405