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556106752 = 2101393907
BaseRepresentation
bin100001001001011…
…000010000000000
31102202102011001101
4201021120100000
52114330404002
6131103144144
716531554325
oct4111302000
91382364041
10556106752
112659a9263
121362a5054
138b29ac66
1453bdcb4c
1533c4c587
hex21258400

556106752 has 44 divisors (see below), whose sum is σ = 1119954640. Its totient is φ = 275982336.

The previous prime is 556106743. The next prime is 556106779. The reversal of 556106752 is 257601655.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140383 + ... + 144289.

Almost surely, 2556106752 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 556106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559977320).

556106752 is an abundant number, since it is smaller than the sum of its proper divisors (563847888).

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

556106752 is a wasteful number, since it uses less digits than its factorization.

556106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 556106752 is about 23581.9157830741. The cubic root of 556106752 is about 822.3424750449.

The spelling of 556106752 in words is "five hundred fifty-six million, one hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1024 1112 2224 3907 4448 7814 8896 15628 17792 31256 35584 62512 71168 125024 142336 250048 500096 543073 1000192 1086146 2000384 2172292 4000768 4344584 8689168 17378336 34756672 69513344 139026688 278053376 556106752