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484365060 = 2232523311549
BaseRepresentation
bin11100110111101…
…101001100000100
31020202102021221200
4130313231030010
51442444140220
6120021342500
715001015014
oct3467551404
91222367850
10484365060
11229458703
12116267a30
137946c75a
1448485c44
152c7ca890
hex1cded304

484365060 has 72 divisors (see below), whose sum is σ = 1475674200. Its totient is φ = 128598528.

The previous prime is 484365023. The next prime is 484365097. The reversal of 484365060 is 60563484.

It is an interprime number because it is at equal distance from previous prime (484365023) and next prime (484365097).

It can be written as a sum of positive squares in 4 ways, for example, as 96353856 + 388011204 = 9816^2 + 19698^2 .

It is a super-2 number, since 2×4843650602 = 469219022697607200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36166 + ... + 47714.

It is an arithmetic number, because the mean of its divisors is an integer number (20495475).

Almost surely, 2484365060 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 484365060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737837100).

484365060 is an abundant number, since it is smaller than the sum of its proper divisors (991309140).

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

484365060 is a wasteful number, since it uses less digits than its factorization.

484365060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 484365060 is about 22008.2952542899. The cubic root of 484365060 is about 785.3397909624.

The spelling of 484365060 in words is "four hundred eighty-four million, three hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6990 8388 10485 11549 13980 20970 23098 34647 41940 46196 57745 69294 103941 115490 138588 173235 207882 230980 346470 415764 519705 692940 1039410 2078820 2690917 5381834 8072751 10763668 13454585 16145502 24218253 26909170 32291004 40363755 48436506 53818340 80727510 96873012 121091265 161455020 242182530 484365060