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5335104 = 26337751
BaseRepresentation
bin10100010110100001000000
3101001001101110
4110112201000
52331210404
6310203320
763230145
oct24264100
911031343
105335104
113014385
121953540
13114a488
149cc3cc
15705b89
hex516840

5335104 has 56 divisors (see below), whose sum is σ = 14516608. Its totient is φ = 1728000.

The previous prime is 5335081. The next prime is 5335117. The reversal of 5335104 is 4015335.

5335104 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6729 + ... + 7479.

Almost surely, 25335104 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 5335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258304).

5335104 is an abundant number, since it is smaller than the sum of its proper divisors (9181504).

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

5335104 is a wasteful number, since it uses less digits than its factorization.

5335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5335104 is about 2309.7844055236. The cubic root of 5335104 is about 174.7354260555.

The spelling of 5335104 in words is "five million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 751 888 1184 1502 1776 2253 2368 3004 3552 4506 6008 7104 9012 12016 18024 24032 27787 36048 48064 55574 72096 83361 111148 144192 166722 222296 333444 444592 666888 889184 1333776 1778368 2667552 5335104