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2423980800 = 28325242083
BaseRepresentation
bin1001000001111011…
…0000001100000000
320020221010222112200
42100132300030000
514431014341200
61040310153200
7114032332263
oct22036601400
96227128480
102423980800
11103430171a
12577952800
132c8263c87
1418dd02cda
15e2c11800
hex907b0300

2423980800 has 162 divisors, whose sum is σ = 8666484372. Its totient is φ = 646379520.

The previous prime is 2423980733. The next prime is 2423980813. The reversal of 2423980800 is 80893242.

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 17 ways as a sum of consecutive naturals, for example, 36559 + ... + 78641.

Almost surely, 22423980800 is an apocalyptic number.

2423980800 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 2423980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333242186).

2423980800 is an abundant number, since it is smaller than the sum of its proper divisors (6242503572).

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

2423980800 is a wasteful number, since it uses less digits than its factorization.

2423980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42115 (or 42093 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2423980800 is about 49233.9395133073. The cubic root of 2423980800 is about 1343.3104455965.

The spelling of 2423980800 in words is "two billion, four hundred twenty-three million, nine hundred eighty thousand, eight hundred".