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2042240424 = 233721736599
BaseRepresentation
bin111100110111010…
…0001110110101000
312021022211120012020
41321232201312220
513140303143144
6534352144440
7101415520500
oct17156416650
95238746166
102042240424
11958878504
1248bb38120
132671468b3
14155332a00
15be458419
hex79ba1da8

2042240424 has 48 divisors (see below), whose sum is σ = 5939172000. Its totient is φ = 583496928.

The previous prime is 2042240423. The next prime is 2042240429. The reversal of 2042240424 is 4240422402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2042240394 and 2042240403.

It is not an unprimeable number, because it can be changed into a prime (2042240423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867124 + ... + 869475.

It is an arithmetic number, because the mean of its divisors is an integer number (123732750).

Almost surely, 22042240424 is an apocalyptic number.

2042240424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042240424 is an abundant number, since it is smaller than the sum of its proper divisors (3896931576).

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

2042240424 is a wasteful number, since it uses less digits than its factorization.

2042240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736622 (or 1736611 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2042240424 is about 45191.1542671793. The cubic root of 2042240424 is about 1268.7292606994.

Adding to 2042240424 its reverse (4240422402), we get a palindrome (6282662826).

The spelling of 2042240424 in words is "two billion, forty-two million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1736599 3473198 5209797 6946396 10419594 12156193 13892792 20839188 24312386 36468579 41678376 48624772 72937158 85093351 97249544 145874316 170186702 255280053 291748632 340373404 510560106 680746808 1021120212 2042240424