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556442640 = 2432513217269
BaseRepresentation
bin100001001010101…
…010010000010000
31102210001012210200
4201022222100100
52114422131030
6131114255200
716534453515
oct4112522020
91383035720
10556442640
11266108656
12136427500
138b387b00
1453c8930c
1533cb6d60
hex212aa410

556442640 has 360 divisors, whose sum is σ = 2150520840. Its totient is φ = 128434176.

The previous prime is 556442617. The next prime is 556442641. The reversal of 556442640 is 46244655.

556442640 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 4 + 2 + 640 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 378380304 + 178062336 = 19452^2 + 13344^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5564426402 = 619256823220339200, which contains 22 as substring.

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 = 556442595 and 556442604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556442641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2068426 + ... + 2068694.

It is an arithmetic number, because the mean of its divisors is an integer number (5973669).

Almost surely, 2556442640 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 556442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075260420).

556442640 is an abundant number, since it is smaller than the sum of its proper divisors (1594078200).

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

556442640 is a wasteful number, since it uses less digits than its factorization.

556442640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 556442640 is about 23589.0364364465. The cubic root of 556442640 is about 822.5080064384.

The spelling of 556442640 in words is "five hundred fifty-six million, four hundred forty-two thousand, six hundred forty".