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2442660500 = 225373147479
BaseRepresentation
bin1001000110011000…
…0000101010010100
320022020022000021102
42101212000222110
520000310114000
61042214405232
7114350162120
oct22146005224
96266260242
102442660500
1110438aaa95
12582060818
132cc0a4457
141925a6580
15e46a13d5
hex91980a94

2442660500 has 192 divisors, whose sum is σ = 6440878080. Its totient is φ = 791568000.

The previous prime is 2442660497. The next prime is 2442660511. The reversal of 2442660500 is 50662442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5099261 + ... + 5099739.

It is an arithmetic number, because the mean of its divisors is an integer number (33546240).

Almost surely, 22442660500 is an apocalyptic number.

2442660500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442660500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220439040).

2442660500 is an abundant number, since it is smaller than the sum of its proper divisors (3998217580).

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

2442660500 is a wasteful number, since it uses less digits than its factorization.

2442660500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2442660500 is about 49423.2789280517. The cubic root of 2442660500 is about 1346.7522295023.

The spelling of 2442660500 in words is "two billion, four hundred forty-two million, six hundred sixty thousand, five hundred".