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2423042400 = 253521009601
BaseRepresentation
bin1001000001101100…
…1011000101100000
320020212101022022010
42100123023011200
514430244324100
61040234112520
7114021343362
oct22033130540
96225338263
102423042400
111033820689
1257757b740
132c7cc5acc
1418db3ad32
15e2ac8750
hex906cb160

2423042400 has 72 divisors (see below), whose sum is σ = 7887010824. Its totient is φ = 646144000.

The previous prime is 2423042383. The next prime is 2423042411. The reversal of 2423042400 is 42403242.

It is a super-2 number, since 2×24230424002 = 11742268944395520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502401 + ... + 507200.

It is an arithmetic number, because the mean of its divisors is an integer number (109541817).

Almost surely, 22423042400 is an apocalyptic number.

2423042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2423042400 is an abundant number, since it is smaller than the sum of its proper divisors (5463968424).

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

2423042400 is a wasteful number, since it uses less digits than its factorization.

2423042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009624 (or 1009611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2423042400 is about 49224.4085794842. The cubic root of 2423042400 is about 1343.1370771682.

Adding to 2423042400 its reverse (42403242), we get a palindrome (2465445642).

The spelling of 2423042400 in words is "two billion, four hundred twenty-three million, forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 1009601 2019202 3028803 4038404 5048005 6057606 8076808 10096010 12115212 15144015 16153616 20192020 24230424 25240025 30288030 32307232 40384040 48460848 50480050 60576060 75720075 80768080 96921696 100960100 121152120 151440150 161536160 201920200 242304240 302880300 403840400 484608480 605760600 807680800 1211521200 2423042400