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5830264 = 2311219317
BaseRepresentation
bin10110001111011001111000
3101222012121201
4112033121320
52443032024
6324543544
7100361566
oct26173170
911865551
105830264
113322400
121b51bb4
13129197b
14abaa36
157a2744
hex58f678

5830264 has 48 divisors (see below), whose sum is σ = 12688200. Its totient is φ = 2502720.

The previous prime is 5830259. The next prime is 5830271. The reversal of 5830264 is 4620385.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18234 + ... + 18550.

Almost surely, 25830264 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 5830264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344100).

5830264 is an abundant number, since it is smaller than the sum of its proper divisors (6857936).

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

5830264 is a wasteful number, since it uses less digits than its factorization.

5830264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5830264 is about 2414.5939617252. The cubic root of 5830264 is about 179.9821381453.

The spelling of 5830264 in words is "five million, eight hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 317 418 484 634 836 968 1268 1672 2299 2536 3487 4598 6023 6974 9196 12046 13948 18392 24092 27896 38357 48184 66253 76714 132506 153428 265012 306856 530024 728783 1457566 2915132 5830264