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5971616 = 25753503
BaseRepresentation
bin10110110001111010100000
3102020101111222
4112301322200
53012042431
6331554212
7101520650
oct26617240
912211458
105971616
113409622
121bbb968
131311101
14b16360
157ce57b
hex5b1ea0

5971616 has 48 divisors (see below), whose sum is σ = 13716864. Its totient is φ = 2505984.

The previous prime is 5971591. The next prime is 5971621. The reversal of 5971616 is 6161795.

5971616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 11621 + ... + 12123.

It is an arithmetic number, because the mean of its divisors is an integer number (285768).

Almost surely, 25971616 is an apocalyptic number.

5971616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5971616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858432).

5971616 is an abundant number, since it is smaller than the sum of its proper divisors (7745248).

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

5971616 is a wasteful number, since it uses less digits than its factorization.

5971616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its digits is 11340, while the sum is 35.

The square root of 5971616 is about 2443.6890145843. The cubic root of 5971616 is about 181.4250665234.

The spelling of 5971616 in words is "five million, nine hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 503 742 848 1006 1484 1696 2012 2968 3521 4024 5936 7042 8048 11872 14084 16096 26659 28168 53318 56336 106636 112672 186613 213272 373226 426544 746452 853088 1492904 2985808 5971616