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5829304 = 2313232437
BaseRepresentation
bin10110001111001010111000
3101222011022011
4112033022320
52443014204
6324535304
7100356025
oct26171270
911864264
105829304
113321708
121b51534
1312913c0
14aba54c
157a2304
hex58f2b8

5829304 has 32 divisors (see below), whose sum is σ = 12287520. Its totient is φ = 2572416.

The previous prime is 5829301. The next prime is 5829323. The reversal of 5829304 is 4039285.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5829301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1174 + ... + 3610.

It is an arithmetic number, because the mean of its divisors is an integer number (383985).

Almost surely, 25829304 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 5829304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143760).

5829304 is an abundant number, since it is smaller than the sum of its proper divisors (6458216).

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

5829304 is a wasteful number, since it uses less digits than its factorization.

5829304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 5829304 is about 2414.3951623543. The cubic root of 5829304 is about 179.9722590994.

It can be divided in two parts, 582930 and 4, that multiplied together give a triangular number (2331720 = T2159).

The spelling of 5829304 in words is "five million, eight hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 2392 2437 4874 9748 19496 31681 56051 63362 112102 126724 224204 253448 448408 728663 1457326 2914652 5829304