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5956016 = 241143787
BaseRepresentation
bin10110101110000110110000
3102012121010012
4112232012300
53011043031
6331354052
7101424323
oct26560660
912177105
105956016
1133a8930
121bb2928
131306c91
14b107ba
157c9b2b
hex5ae1b0

5956016 has 40 divisors (see below), whose sum is σ = 12897984. Its totient is φ = 2640960.

The previous prime is 5956007. The next prime is 5956031. The reversal of 5956016 is 6106595.

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 7 ways as a sum of consecutive naturals, for example, 7175 + ... + 7961.

Almost surely, 25956016 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 5956016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448992).

5956016 is an abundant number, since it is smaller than the sum of its proper divisors (6941968).

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

5956016 is a wasteful number, since it uses less digits than its factorization.

5956016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 5956016 is about 2440.4950317507. The cubic root of 5956016 is about 181.2669463347.

The spelling of 5956016 in words is "five million, nine hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 787 946 1574 1892 3148 3784 6296 7568 8657 12592 17314 33841 34628 67682 69256 135364 138512 270728 372251 541456 744502 1489004 2978008 5956016