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30258500 = 225373829
BaseRepresentation
bin111001101101…
…1010101000100
32002221021212012
41303123111010
530221233000
63000313352
7515123126
oct163332504
962837765
1030258500
1116097728
12a172858
13636584c
144039216
1529ca735
hex1cdb544

30258500 has 48 divisors (see below), whose sum is σ = 67070640. Its totient is φ = 11923200.

The previous prime is 30258497. The next prime is 30258517. The reversal of 30258500 is 585203.

It can be written as a sum of positive squares in 8 ways, for example, as 7828804 + 22429696 = 2798^2 + 4736^2 .

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 15 ways as a sum of consecutive naturals, for example, 36086 + ... + 36914.

It is an arithmetic number, because the mean of its divisors is an integer number (1397305).

Almost surely, 230258500 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 30258500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33535320).

30258500 is an abundant number, since it is smaller than the sum of its proper divisors (36812140).

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

30258500 is a wasteful number, since it uses less digits than its factorization.

30258500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 30258500 is about 5500.7726729979. The cubic root of 30258500 is about 311.6131656602.

The spelling of 30258500 in words is "thirty million, two hundred fifty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 730 829 1460 1658 1825 3316 3650 4145 7300 8290 9125 16580 18250 20725 36500 41450 60517 82900 103625 121034 207250 242068 302585 414500 605170 1210340 1512925 3025850 6051700 7564625 15129250 30258500