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484023100 = 2252111923159
BaseRepresentation
bin11100110110011…
…001101100111100
31020201202220212111
4130312121230330
51442402214400
6120010143404
714665062031
oct3466315474
91221686774
10484023100
112292447a0
12116121b64
137937cc02
14483d7388
152c75e3ba
hex1cd99b3c

484023100 has 72 divisors (see below), whose sum is σ = 1206172800. Its totient is φ = 166737600.

The previous prime is 484023047. The next prime is 484023131. The reversal of 484023100 is 1320484.

It is a super-2 number, since 2×4840231002 = 468556722667220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9321 + ... + 32479.

It is an arithmetic number, because the mean of its divisors is an integer number (16752400).

Almost surely, 2484023100 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 484023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603086400).

484023100 is an abundant number, since it is smaller than the sum of its proper divisors (722149700).

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

484023100 is a wasteful number, since it uses less digits than its factorization.

484023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23203 (or 23196 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 484023100 is about 22000.5249937359. The cubic root of 484023100 is about 785.1549317577.

Adding to 484023100 its reverse (1320484), we get a palindrome (485343584).

The spelling of 484023100 in words is "four hundred eighty-four million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 23159 46318 92636 115795 231590 254749 440021 463180 509498 578975 880042 1018996 1157950 1273745 1760084 2200105 2315900 2547490 4400210 4840231 5094980 6368725 8800420 9680462 11000525 12737450 19360924 22001050 24201155 25474900 44002100 48402310 96804620 121005775 242011550 484023100