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2042003424 = 253173122953
BaseRepresentation
bin111100110110110…
…0111111111100000
312021022101112002110
41321231213333200
513140223102144
6534343115320
7101413512516
oct17155477740
95238345073
102042003424
1195872643a
1248ba42b40
13267092a66
141552b04b6
15be40d0b9
hex79b67fe0

2042003424 has 48 divisors (see below), whose sum is σ = 5391286992. Its totient is φ = 676727808.

The previous prime is 2042003423. The next prime is 2042003443. The reversal of 2042003424 is 4243002402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2042003424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042003423) 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, 44869 + ... + 78084.

It is an arithmetic number, because the mean of its divisors is an integer number (112318479).

Almost surely, 22042003424 is an apocalyptic number.

2042003424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042003424 is an abundant number, since it is smaller than the sum of its proper divisors (3349283568).

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

2042003424 is a wasteful number, since it uses less digits than its factorization.

2042003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123139 (or 123131 counting only the distinct ones).

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

The square root of 2042003424 is about 45188.5319965143. The cubic root of 2042003424 is about 1268.6801805383.

Adding to 2042003424 its reverse (4243002402), we get a palindrome (6285005826).

The spelling of 2042003424 in words is "two billion, forty-two million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8304 16608 122953 245906 368859 491812 737718 983624 1475436 1967248 2950872 3934496 5901744 11803488 21270869 42541738 63812607 85083476 127625214 170166952 255250428 340333904 510500856 680667808 1021001712 2042003424