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556106431 = 17157920717
BaseRepresentation
bin100001001001011…
…000001010111111
31102202102010121111
4201021120022333
52114330401211
6131103142451
716531553356
oct4111301277
91382363544
10556106431
112659a8aa1
121362a4a27
138b29aa7a
1453bdc99d
1533c4c421
hex212582bf

556106431 has 8 divisors (see below), whose sum is σ = 589219920. Its totient is φ = 523037568.

The previous prime is 556106429. The next prime is 556106471. The reversal of 556106431 is 134601655.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 556106431 - 21 = 556106429 is a prime.

It is a super-2 number, since 2×5561064312 = 618508725199115522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 556106393 and 556106402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556106471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16485 + ... + 37201.

It is an arithmetic number, because the mean of its divisors is an integer number (73652490).

Almost surely, 2556106431 is an apocalyptic number.

556106431 is a deficient number, since it is larger than the sum of its proper divisors (33113489).

556106431 is a wasteful number, since it uses less digits than its factorization.

556106431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22313.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 556106431 is about 23581.9089770103. The cubic root of 556106431 is about 822.3423168187.

The spelling of 556106431 in words is "five hundred fifty-six million, one hundred six thousand, four hundred thirty-one".

Divisors: 1 17 1579 20717 26843 352189 32712143 556106431