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5897664 = 26333413
BaseRepresentation
bin10110011111110111000000
3102002122002000
4112133313000
53002211124
6330224000
7101062233
oct26376700
912078060
105897664
113369003
121b85000
1312b6556
14ad741a
157b76c9
hex59fdc0

5897664 has 56 divisors (see below), whose sum is σ = 17343120. Its totient is φ = 1965312.

The previous prime is 5897653. The next prime is 5897669. The reversal of 5897664 is 4667985.

5897664 is a `hidden beast` number, since 589 + 7 + 6 + 64 = 666.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5897669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 3434.

Almost surely, 25897664 is an apocalyptic number.

5897664 is a gapful number since it is divisible by the number (54) 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 5897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671560).

5897664 is an abundant number, since it is smaller than the sum of its proper divisors (11445456).

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

5897664 is a wasteful number, since it uses less digits than its factorization.

5897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3418 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5897664 is about 2428.5106547018. The cubic root of 5897664 is about 180.6730358785.

It can be divided in two parts, 5897 and 664, that added together give a 8-th power (6561 = 38).

The spelling of 5897664 in words is "five million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3413 6826 10239 13652 20478 27304 30717 40956 54608 61434 81912 92151 109216 122868 163824 184302 218432 245736 327648 368604 491472 655296 737208 982944 1474416 1965888 2948832 5897664