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5798304 = 25342237
BaseRepresentation
bin10110000111100110100000
3101220120210000
4112013212200
52441021204
6324140000
7100166451
oct26074640
911816700
105798304
113300396
121b37600
131280265
14aad128
15798039
hex5879a0

5798304 has 60 divisors (see below), whose sum is σ = 17060274. Its totient is φ = 1931904.

The previous prime is 5798291. The next prime is 5798311. The reversal of 5798304 is 4038975.

5798304 is a `hidden beast` number, since 579 + 83 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 1587600 = 2052^2 + 1260^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 9 ways as a sum of consecutive naturals, for example, 1474 + ... + 3710.

Almost surely, 25798304 is an apocalyptic number.

5798304 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 5798304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530137).

5798304 is an abundant number, since it is smaller than the sum of its proper divisors (11261970).

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

5798304 is a wasteful number, since it uses less digits than its factorization.

5798304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5798304 is about 2407.9667771795. The cubic root of 5798304 is about 179.6526635276.

The spelling of 5798304 in words is "five million, seven hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2237 2592 4474 6711 8948 13422 17896 20133 26844 35792 40266 53688 60399 71584 80532 107376 120798 161064 181197 214752 241596 322128 362394 483192 644256 724788 966384 1449576 1932768 2899152 5798304