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2042243424 = 2532131921511
BaseRepresentation
bin111100110111010…
…0010100101100000
312021022211201022100
41321232202211200
513140303242144
6534352210400
7101415532314
oct17156424540
95238751270
102042243424
1195887a791
1248bb39a00
13267148080
14155333b44
15be459269
hex79ba2960

2042243424 has 216 divisors, whose sum is σ = 6605241552. Its totient is φ = 594915840.

The previous prime is 2042243417. The next prime is 2042243429. The reversal of 2042243424 is 4243422402.

2042243424 is a `hidden beast` number, since 204 + 2 + 2 + 434 + 24 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042243429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1350829 + ... + 1352339.

It is an arithmetic number, because the mean of its divisors is an integer number (30579822).

Almost surely, 22042243424 is an apocalyptic number.

2042243424 is a gapful number since it is divisible by the number (24) 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 2042243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302620776).

2042243424 is an abundant number, since it is smaller than the sum of its proper divisors (4562998128).

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

2042243424 is a wasteful number, since it uses less digits than its factorization.

2042243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2042243424 is about 45191.1874595037. The cubic root of 2042243424 is about 1268.7298819430.

Adding to 2042243424 its reverse (4243422402), we get a palindrome (6285665826).

The spelling of 2042243424 in words is "two billion, forty-two million, two hundred forty-three thousand, four hundred twenty-four".