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2424203296 = 2537255337
BaseRepresentation
bin1001000001111110…
…0110100000100000
320020221120021202021
42100133212200200
514431044001141
61040315031224
7114034250044
oct22037464040
96227507667
102424203296
1110344438a9
12577a3b514
132c8311328
1418dd60024
15e2c576d1
hex907e6820

2424203296 has 36 divisors (see below), whose sum is σ = 4905215658. Its totient is φ = 1179320832.

The previous prime is 2424203279. The next prime is 2424203311. The reversal of 2424203296 is 6923024242.

It can be written as a sum of positive squares in 3 ways, for example, as 2424183696 + 19600 = 49236^2 + 140^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16140 + ... + 71476.

Almost surely, 22424203296 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 2424203296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452607829).

2424203296 is an abundant number, since it is smaller than the sum of its proper divisors (2481012362).

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

2424203296 is an equidigital number, since it uses as much as digits as its factorization.

2424203296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55421 (or 55376 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 2424203296 is about 49236.1990409495. The cubic root of 2424203296 is about 1343.3515449398.

The spelling of 2424203296 in words is "two billion, four hundred twenty-four million, two hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1369 2738 5476 10952 21904 43808 55337 110674 221348 442696 885392 1770784 2047469 4094938 8189876 16379752 32759504 65519008 75756353 151512706 303025412 606050824 1212101648 2424203296