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5330592 = 253283223
BaseRepresentation
bin10100010101011010100000
3101000211012100
4110111122200
52331034332
6310130400
763211041
oct24253240
911024170
105330592
113010a53
121950a00
1311483c7
149ca8c8
1570467c
hex5156a0

5330592 has 72 divisors (see below), whose sum is σ = 15410304. Its totient is φ = 1747584.

The previous prime is 5330579. The next prime is 5330597. The reversal of 5330592 is 2950335.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×53305922 = 56830422140928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5330597) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23793 + ... + 24015.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 25330592 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 5330592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152).

5330592 is an abundant number, since it is smaller than the sum of its proper divisors (10079712).

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

5330592 is a wasteful number, since it uses less digits than its factorization.

5330592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 5330592 is about 2308.8074843954. The cubic root of 5330592 is about 174.6861531264.

The spelling of 5330592 in words is "five million, three hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 223 249 288 332 446 498 664 669 747 892 996 1328 1338 1494 1784 1992 2007 2656 2676 2988 3568 3984 4014 5352 5976 7136 7968 8028 10704 11952 16056 18509 21408 23904 32112 37018 55527 64224 74036 111054 148072 166581 222108 296144 333162 444216 592288 666324 888432 1332648 1776864 2665296 5330592