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5329656 = 233279937
BaseRepresentation
bin10100010101001011111000
3101000202220200
4110111023320
52331022111
6310122200
763205233
oct24251370
911022820
105329656
113010282
121950360
131147b57
149ca41a
15704256
hex5152f8

5329656 has 48 divisors (see below), whose sum is σ = 14632800. Its totient is φ = 1752192.

The previous prime is 5329651. The next prime is 5329661. The reversal of 5329656 is 6569235.

It is an interprime number because it is at equal distance from previous prime (5329651) and next prime (5329661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5329656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329651) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5220 + ... + 6156.

It is an arithmetic number, because the mean of its divisors is an integer number (304850).

Almost surely, 25329656 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 5329656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316400).

5329656 is an abundant number, since it is smaller than the sum of its proper divisors (9303144).

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

5329656 is a wasteful number, since it uses less digits than its factorization.

5329656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1021 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 5329656 is about 2308.6047734508. The cubic root of 5329656 is about 174.6759281326.

The spelling of 5329656 in words is "five million, three hundred twenty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 937 948 1422 1874 1896 2811 2844 3748 5622 5688 7496 8433 11244 16866 22488 33732 67464 74023 148046 222069 296092 444138 592184 666207 888276 1332414 1776552 2664828 5329656