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5359032 = 23327431
BaseRepresentation
bin10100011100010110111000
3101002021012200
4110130112320
52332442112
6310510200
763360000
oct24342670
911067180
105359032
113030358
121965360
131158333
149d7000
1570ccdc
hex51c5b8

5359032 has 120 divisors (see below), whose sum is σ = 17478240. Its totient is φ = 1481760.

The previous prime is 5359027. The next prime is 5359037. The reversal of 5359032 is 2309535.

It is an interprime number because it is at equal distance from previous prime (5359027) and next prime (5359037).

It is a junction number, because it is equal to n+sod(n) for n = 5358987 and 5359005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5359037) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 172857 + ... + 172887.

It is an arithmetic number, because the mean of its divisors is an integer number (145652).

Almost surely, 25359032 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 5359032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739120).

5359032 is an abundant number, since it is smaller than the sum of its proper divisors (12119208).

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

5359032 is a wasteful number, since it uses less digits than its factorization.

5359032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 43 counting only the distinct ones).

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

The square root of 5359032 is about 2314.9583149595. The cubic root of 5359032 is about 174.9962665870.

The spelling of 5359032 in words is "five million, three hundred fifty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 343 372 392 434 441 504 558 588 651 686 744 868 882 1029 1116 1176 1302 1372 1519 1736 1764 1953 2058 2232 2401 2604 2744 3038 3087 3528 3906 4116 4557 4802 5208 6076 6174 7203 7812 8232 9114 9604 10633 12152 12348 13671 14406 15624 18228 19208 21266 21609 24696 27342 28812 31899 36456 42532 43218 54684 57624 63798 74431 85064 86436 95697 109368 127596 148862 172872 191394 223293 255192 297724 382788 446586 595448 669879 765576 893172 1339758 1786344 2679516 5359032