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5335792 = 247116171
BaseRepresentation
bin10100010110101011110000
3101001002022221
4110112223300
52331221132
6310210424
763232150
oct24265360
911032287
105335792
113014950
121953a14
13114a897
149cc760
15705e97
hex516af0

5335792 has 80 divisors (see below), whose sum is σ = 13284864. Its totient is φ = 2016000.

The previous prime is 5335777. The next prime is 5335801. The reversal of 5335792 is 2975335.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 75117 + ... + 75187.

Almost surely, 25335792 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 5335792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642432).

5335792 is an abundant number, since it is smaller than the sum of its proper divisors (7949072).

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

5335792 is a wasteful number, since it uses less digits than its factorization.

5335792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 28350, while the sum is 34.

The square root of 5335792 is about 2309.9333323713. The cubic root of 5335792 is about 174.7429368623.

The spelling of 5335792 in words is "five million, three hundred thirty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 61 71 77 88 112 122 142 154 176 244 284 308 427 488 497 568 616 671 781 854 976 994 1136 1232 1342 1562 1708 1988 2684 3124 3416 3976 4331 4697 5368 5467 6248 6832 7952 8662 9394 10736 10934 12496 17324 18788 21868 30317 34648 37576 43736 47641 60634 69296 75152 87472 95282 121268 190564 242536 333487 381128 485072 666974 762256 1333948 2667896 5335792