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5802048 = 263271439
BaseRepresentation
bin10110001000100001000000
3101220202220200
4112020201000
52441131143
6324205200
7100213410
oct26104100
911822820
105802048
11330318a
121b39800
131281b85
14ab0640
157991d3
hex588840

5802048 has 84 divisors (see below), whose sum is σ = 19019520. Its totient is φ = 1656576.

The previous prime is 5802047. The next prime is 5802073. The reversal of 5802048 is 8402085.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (5802047) 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, 3313 + ... + 4751.

Almost surely, 25802048 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 5802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

5802048 is an abundant number, since it is smaller than the sum of its proper divisors (13217472).

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

5802048 is a wasteful number, since it uses less digits than its factorization.

5802048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5802048 is about 2408.7440710877. The cubic root of 5802048 is about 179.6913228122.

It can be divided in two parts, 580 and 2048, that added together give a triangular number (2628 = T72).

The spelling of 5802048 in words is "five million, eight hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 1439 2016 2878 4032 4317 5756 8634 10073 11512 12951 17268 20146 23024 25902 30219 34536 40292 46048 51804 60438 69072 80584 90657 92096 103608 120876 138144 161168 181314 207216 241752 276288 322336 362628 414432 483504 644672 725256 828864 967008 1450512 1934016 2901024 5802048