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5730048 = 2833829
BaseRepresentation
bin10101110110111100000000
3101210010011000
4111312330000
52431330143
6322452000
766463452
oct25667400
911703130
105730048
113264085
121b04000
13125817c
14a922d2
15782bd3
hex576f00

5730048 has 72 divisors (see below), whose sum is σ = 16965200. Its totient is φ = 1907712.

The previous prime is 5730047. The next prime is 5730061. The reversal of 5730048 is 8400375.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5730047) 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 7 ways as a sum of consecutive naturals, for example, 6498 + ... + 7326.

Almost surely, 25730048 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 5730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482600).

5730048 is an abundant number, since it is smaller than the sum of its proper divisors (11235152).

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

5730048 is an equidigital number, since it uses as much as digits as its factorization.

5730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5730048 is about 2393.7518668400. The cubic root of 5730048 is about 178.9449390067.

The spelling of 5730048 in words is "five million, seven hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 829 864 1152 1658 1728 2304 2487 3316 3456 4974 6632 6912 7461 9948 13264 14922 19896 22383 26528 29844 39792 44766 53056 59688 79584 89532 106112 119376 159168 179064 212224 238752 318336 358128 477504 636672 716256 955008 1432512 1910016 2865024 5730048