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5858300268 = 2233314873593
BaseRepresentation
bin1010111010010111…
…01001000101101100
3120010021102111012000
411131023221011230
543444211102033
62405151412300
7265113505422
oct53513510554
916107374160
105858300268
112536948777
121175b24090
13724914b82
143d8085112
15244497a13
hex15d2e916c

5858300268 has 96 divisors (see below), whose sum is σ = 15714693120. Its totient is φ = 1885368960.

The previous prime is 5858300233. The next prime is 5858300291. The reversal of 5858300268 is 8620038585.

It is a happy number.

5858300268 is a `hidden beast` number, since 5 + 8 + 583 + 0 + 0 + 2 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1628680 + ... + 1632272.

It is an arithmetic number, because the mean of its divisors is an integer number (163694720).

Almost surely, 25858300268 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 5858300268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857346560).

5858300268 is an abundant number, since it is smaller than the sum of its proper divisors (9856392852).

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

5858300268 is a wasteful number, since it uses less digits than its factorization.

5858300268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5858300268 is about 76539.5340200082. The cubic root of 5858300268 is about 1802.7017316633.

The spelling of 5858300268 in words is "five billion, eight hundred fifty-eight million, three hundred thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 487 558 837 974 1116 1461 1674 1948 2922 3348 3593 4383 5844 7186 8766 10779 13149 14372 15097 17532 21558 26298 30194 32337 43116 45291 52596 60388 64674 90582 97011 111383 129348 135873 181164 194022 222766 271746 334149 388044 407619 445532 543492 668298 815238 1002447 1336596 1630476 1749791 2004894 3007341 3499582 4009788 5249373 6014682 6999164 10498746 12029364 15748119 20997492 31496238 47244357 54243521 62992476 94488714 108487042 162730563 188977428 216974084 325461126 488191689 650922252 976383378 1464575067 1952766756 2929150134 5858300268