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556425408 = 26371161617
BaseRepresentation
bin100001001010100…
…110000011000000
31102210000100011110
4201022212003000
52114421103113
6131114043320
716534352340
oct4112460300
91383010143
10556425408
112660a6710
12136419540
138b380006
1453c82d20
1533cb1bc3
hex212a60c0

556425408 has 224 divisors, whose sum is σ = 1868594688. Its totient is φ = 141926400.

The previous prime is 556425403. The next prime is 556425409. The reversal of 556425408 is 804524655.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×5564254083 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (556425403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901516 + ... + 902132.

Almost surely, 2556425408 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 556425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934297344).

556425408 is an abundant number, since it is smaller than the sum of its proper divisors (1312169280).

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

556425408 is a wasteful number, since it uses less digits than its factorization.

556425408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 556425408 is about 23588.6711791911. The cubic root of 556425408 is about 822.4995158332.

The spelling of 556425408 in words is "five hundred fifty-six million, four hundred twenty-five thousand, four hundred eight".