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5829804 = 2232672417
BaseRepresentation
bin10110001111010010101100
3101222011222200
4112033102230
52443023204
6324541500
7100360341
oct26172254
911864880
105829804
113322022
121b51890
1312916b6
14aba7c8
157a2539
hex58f4ac

5829804 has 36 divisors (see below), whose sum is σ = 14962584. Its totient is φ = 1913472.

The previous prime is 5829779. The next prime is 5829823. The reversal of 5829804 is 4089285.

5829804 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×58298042 = 67973229356832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1204 + ... + 3620.

Almost surely, 25829804 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 5829804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481292).

5829804 is an abundant number, since it is smaller than the sum of its proper divisors (9132780).

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

5829804 is a wasteful number, since it uses less digits than its factorization.

5829804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5829804 is about 2414.4987057358. The cubic root of 5829804 is about 179.9774045711.

The spelling of 5829804 in words is "five million, eight hundred twenty-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 2417 4834 7251 9668 14502 21753 29004 43506 87012 161939 323878 485817 647756 971634 1457451 1943268 2914902 5829804