Search a number
-
+
24420042 = 2381861
BaseRepresentation
bin101110100100…
…1111011001010
31200221200000000
41131021323022
522222420132
62231223430
7414365313
oct135117312
950850000
1024420042
111286a159
128217b76
1350a023a
14335960a
15222587c
hex1749eca

24420042 has 36 divisors (see below), whose sum is σ = 54971826. Its totient is φ = 8135640.

The previous prime is 24420023. The next prime is 24420049. The reversal of 24420042 is 24002442.

It can be written as a sum of positive squares in only one way, i.e., 24413481 + 6561 = 4941^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24419997 and 24420024.

It is not an unprimeable number, because it can be changed into a prime (24420049) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12192 + ... + 14052.

Almost surely, 224420042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24420042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27485913).

24420042 is an abundant number, since it is smaller than the sum of its proper divisors (30551784).

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

24420042 is an frugal number, since it uses more digits than its factorization.

24420042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 24420042 is about 4941.6638898250. The cubic root of 24420042 is about 290.1229839055.

Adding to 24420042 its reverse (24002442), we get a palindrome (48422484).

The spelling of 24420042 in words is "twenty-four million, four hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1861 2187 3722 4374 5583 6561 11166 13122 16749 33498 50247 100494 150741 301482 452223 904446 1356669 2713338 4070007 8140014 12210021 24420042