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5858095300 = 2252375329873
BaseRepresentation
bin1010111010010101…
…10111000011000100
3120010021001002000121
411131022313003010
543444133022200
62405143151324
7265111663021
oct53512670304
916107032017
105858095300
112536818782
121175a45544
137248727a5
143d8030548
15244456e1a
hex15d2b70c4

5858095300 has 72 divisors (see below), whose sum is σ = 13302414216. Its totient is φ = 2236815360.

The previous prime is 5858095279. The next prime is 5858095307. The reversal of 5858095300 is 35908585.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 60186564 + 5797908736 = 7758^2 + 76144^2 .

It is not an unprimeable number, because it can be changed into a prime (5858095307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181164 + ... + 211036.

It is an arithmetic number, because the mean of its divisors is an integer number (184755753).

Almost surely, 25858095300 is an apocalyptic number.

5858095300 is a gapful number since it is divisible by the number (50) 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 5858095300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651207108).

5858095300 is an abundant number, since it is smaller than the sum of its proper divisors (7444318916).

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

5858095300 is a wasteful number, since it uses less digits than its factorization.

5858095300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29977 (or 29970 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 5858095300 is about 76538.1950401236. The cubic root of 5858095300 is about 1802.6807073354.

The spelling of 5858095300 in words is "five billion, eight hundred fifty-eight million, ninety-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 53 74 100 106 148 185 212 265 370 530 740 925 1060 1325 1850 1961 2650 3700 3922 5300 7844 9805 19610 29873 39220 49025 59746 98050 119492 149365 196100 298730 597460 746825 1105301 1493650 1583269 2210602 2987300 3166538 4421204 5526505 6333076 7916345 11053010 15832690 22106020 27632525 31665380 39581725 55265050 58580953 79163450 110530100 117161906 158326900 234323812 292904765 585809530 1171619060 1464523825 2929047650 5858095300