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556342272 = 21032175367
BaseRepresentation
bin100001001010010…
…001110000000000
31102202212010010100
4201022101300000
52114410423042
6131112202400
716533555063
oct4112216000
91382763110
10556342272
1126604a202
12136399400
138b351215
1453c608da
1533c9724c
hex21291c00

556342272 has 264 divisors, whose sum is σ = 1758880656. Its totient is φ = 168689664.

The previous prime is 556342261. The next prime is 556342307. The reversal of 556342272 is 272243655.

556342272 is a `hidden beast` number, since 5 + 563 + 4 + 22 + 72 = 666.

It is a super-2 number, since 2×5563422722 = 619033447228243968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8303583 + ... + 8303649.

Almost surely, 2556342272 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 556342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879440328).

556342272 is an abundant number, since it is smaller than the sum of its proper divisors (1202538384).

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

556342272 is a wasteful number, since it uses less digits than its factorization.

556342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 556342272 is about 23586.9089115128. The cubic root of 556342272 is about 822.4585503390.

The spelling of 556342272 in words is "five hundred fifty-six million, three hundred forty-two thousand, two hundred seventy-two".