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42616024 = 23111632971
BaseRepresentation
bin1010001010010…
…0010011011000
32222012010012021
42202210103120
541402203044
64121224224
71025141653
oct242442330
988163167
1042616024
1122068060
1212332074
138aa14a9
14593489a
153b1be84
hex28a44d8

42616024 has 32 divisors (see below), whose sum is σ = 87733440. Its totient is φ = 19245600.

The previous prime is 42616001. The next prime is 42616037. The reversal of 42616024 is 42061624.

It is a super-2 number, since 2×426160242 = 3632251003137152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42616024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12859 + ... + 15829.

It is an arithmetic number, because the mean of its divisors is an integer number (2741670).

Almost surely, 242616024 is an apocalyptic number.

42616024 is a gapful number since it is divisible by the number (44) 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 42616024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43866720).

42616024 is an abundant number, since it is smaller than the sum of its proper divisors (45117416).

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

42616024 is a wasteful number, since it uses less digits than its factorization.

42616024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42616024 is about 6528.0949747993. The cubic root of 42616024 is about 349.2938797715.

Adding to 42616024 its reverse (42061624), we get a palindrome (84677648).

The spelling of 42616024 in words is "forty-two million, six hundred sixteen thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1304 1793 2971 3586 5942 7172 11884 14344 23768 32681 65362 130724 261448 484273 968546 1937092 3874184 5327003 10654006 21308012 42616024