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4467824980 = 2252310989107
BaseRepresentation
bin1000010100100110…
…11001100101010100
3102112101000000200021
410022103121211110
533122230344410
62015200554524
7215500612543
oct41223314524
912471000607
104467824980
111992a75043
12a48322a44
1356281c828
1430553215a
151b2384eda
hex10a4d9954

4467824980 has 48 divisors (see below), whose sum is σ = 9880295040. Its totient is φ = 1693726848.

The previous prime is 4467824953. The next prime is 4467824983. The reversal of 4467824980 is 894287644.

It is a super-2 number, since 2×44678249802 = 39922920103824000800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4467824983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5587 + ... + 94693.

It is an arithmetic number, because the mean of its divisors is an integer number (205839480).

Almost surely, 24467824980 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 4467824980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940147520).

4467824980 is an abundant number, since it is smaller than the sum of its proper divisors (5412470060).

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

4467824980 is a wasteful number, since it uses less digits than its factorization.

4467824980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89248 (or 89246 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The square root of 4467824980 is about 66841.7906702087. The cubic root of 4467824980 is about 1647.0194099897.

The spelling of 4467824980 in words is "four billion, four hundred sixty-seven million, eight hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 218 230 436 460 545 1090 2180 2507 5014 10028 12535 25070 50140 89107 178214 356428 445535 891070 1782140 2049461 4098922 8197844 9712663 10247305 19425326 20494610 38850652 40989220 48563315 97126630 194253260 223391249 446782498 893564996 1116956245 2233912490 4467824980