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556426440 = 233253173683
BaseRepresentation
bin100001001010100…
…110010011001000
31102210000101120200
4201022212103020
52114421121230
6131114052200
716534355343
oct4112462310
91383011520
10556426440
112660a7469
1213641a060
138b38061b
1453c8345a
1533cb2160
hex212a64c8

556426440 has 192 divisors, whose sum is σ = 1895063040. Its totient is φ = 141419520.

The previous prime is 556426433. The next prime is 556426469. The reversal of 556426440 is 44624655.

556426440 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 2 + 644 + 0 = 666.

It is a super-2 number, since 2×5564264402 = 619220766262147200, 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 = 556426395 and 556426404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814339 + ... + 815021.

It is an arithmetic number, because the mean of its divisors is an integer number (9870120).

Almost surely, 2556426440 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 556426440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947531520).

556426440 is an abundant number, since it is smaller than the sum of its proper divisors (1338636600).

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

556426440 is a wasteful number, since it uses less digits than its factorization.

556426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 797 counting only the distinct ones).

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

The square root of 556426440 is about 23588.6930540884. The cubic root of 556426440 is about 822.5000243284.

The spelling of 556426440 in words is "five hundred fifty-six million, four hundred twenty-six thousand, four hundred forty".