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5332824 = 233373527
BaseRepresentation
bin10100010101111101011000
3101000221021000
4110111331120
52331122244
6310145000
763220410
oct24257530
911027230
105332824
1130126a2
121952160
131149423
149cb640
15705169
hex515f58

5332824 has 64 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1523232.

The previous prime is 5332759. The next prime is 5332841. The reversal of 5332824 is 4282335.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 25332824 is an apocalyptic number.

5332824 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 5332824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5332824 is an abundant number, since it is smaller than the sum of its proper divisors (11601576).

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

5332824 is a wasteful number, since it uses less digits than its factorization.

5332824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3539 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5332824 is about 2309.2908002242. The cubic root of 5332824 is about 174.7105309746.

The spelling of 5332824 in words is "five million, three hundred thirty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3527 7054 10581 14108 21162 24689 28216 31743 42324 49378 63486 74067 84648 95229 98756 126972 148134 190458 197512 222201 253944 296268 380916 444402 592536 666603 761832 888804 1333206 1777608 2666412 5332824