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484381300 = 2252132391559
BaseRepresentation
bin11100110111110…
…001001001110100
31020202110010020011
4130313301021310
51443000200200
6120021550004
715001113244
oct3467611164
91222403204
10484381300
11229469927
12116275304
1379476c70
144848bb24
152c7d05ba
hex1cdf1274

484381300 has 72 divisors (see below), whose sum is σ = 1137427200. Its totient is φ = 177985920.

The previous prime is 484381217. The next prime is 484381301. The reversal of 484381300 is 3183484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484381301) 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, 309921 + ... + 311479.

It is an arithmetic number, because the mean of its divisors is an integer number (15797600).

Almost surely, 2484381300 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 484381300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568713600).

484381300 is an abundant number, since it is smaller than the sum of its proper divisors (653045900).

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

484381300 is a wasteful number, since it uses less digits than its factorization.

484381300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 484381300 is about 22008.6642029906. The cubic root of 484381300 is about 785.3485679344.

The spelling of 484381300 in words is "four hundred eighty-four million, three hundred eighty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 239 260 325 478 650 956 1195 1300 1559 2390 3107 3118 4780 5975 6214 6236 7795 11950 12428 15535 15590 20267 23900 31070 31180 38975 40534 62140 77675 77950 81068 101335 155350 155900 202670 310700 372601 405340 506675 745202 1013350 1490404 1863005 2026700 3726010 4843813 7452020 9315025 9687626 18630050 19375252 24219065 37260100 48438130 96876260 121095325 242190650 484381300