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2042365424 = 241126344123
BaseRepresentation
bin111100110111100…
…0000010111110000
312021100001220122212
41321233000113300
513140321143144
6534354551252
7101416551101
oct17157002760
95240056585
102042365424
11958953410
1248bb98528
1326718b768
141553663a8
15be48049e
hex79bc05f0

2042365424 has 40 divisors (see below), whose sum is σ = 4333329792. Its totient is φ = 924797120.

The previous prime is 2042365421. The next prime is 2042365439. The reversal of 2042365424 is 4245632402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042365421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24227 + ... + 68349.

Almost surely, 22042365424 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 2042365424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166664896).

2042365424 is an abundant number, since it is smaller than the sum of its proper divisors (2290964368).

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

2042365424 is a wasteful number, since it uses less digits than its factorization.

2042365424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44405 (or 44399 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 2042365424 is about 45192.5372600389. The cubic root of 2042365424 is about 1268.7551453309.

Adding to 2042365424 its reverse (4245632402), we get a palindrome (6287997826).

The spelling of 2042365424 in words is "two billion, forty-two million, three hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 263 526 1052 2104 2893 4208 5786 11572 23144 44123 46288 88246 176492 352984 485353 705968 970706 1941412 3882824 7765648 11604349 23208698 46417396 92834792 127647839 185669584 255295678 510591356 1021182712 2042365424