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5332768 = 257219179
BaseRepresentation
bin10100010101111100100000
3101000221011221
4110111330200
52331122033
6310144424
763220300
oct24257440
911027157
105332768
113012651
121952114
1311493ac
149cb600
1570512d
hex515f20

5332768 has 72 divisors (see below), whose sum is σ = 12927600. Its totient is φ = 2153088.

The previous prime is 5332759. The next prime is 5332841. The reversal of 5332768 is 8672335.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29703 + ... + 29881.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 25332768 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 5332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463800).

5332768 is an abundant number, since it is smaller than the sum of its proper divisors (7594832).

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

5332768 is a wasteful number, since it uses less digits than its factorization.

5332768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 5332768 is about 2309.2786752577. The cubic root of 5332768 is about 174.7099194272.

The spelling of 5332768 in words is "five million, three hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 179 196 224 266 304 358 392 532 608 716 784 931 1064 1253 1432 1568 1862 2128 2506 2864 3401 3724 4256 5012 5728 6802 7448 8771 10024 13604 14896 17542 20048 23807 27208 29792 35084 40096 47614 54416 70168 95228 108832 140336 166649 190456 280672 333298 380912 666596 761824 1333192 2666384 5332768