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42324224 = 28295701
BaseRepresentation
bin1010000101110…
…1000100000000
32221122021220212
42201131010000
541313333344
64111053252
71022515145
oct241350400
987567825
1042324224
11219888a8
1212211228
1389cb727
14589a3cc
153ab079e
hex285d100

42324224 has 36 divisors (see below), whose sum is σ = 87411660. Its totient is φ = 20428800.

The previous prime is 42324211. The next prime is 42324241. The reversal of 42324224 is 42242324.

It can be written as a sum of positive squares in 2 ways, for example, as 29593600 + 12730624 = 5440^2 + 3568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42324224.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4574 + ... + 10274.

Almost surely, 242324224 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 42324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43705830).

42324224 is an abundant number, since it is smaller than the sum of its proper divisors (45087436).

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

42324224 is an equidigital number, since it uses as much as digits as its factorization.

42324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5732 counting only the distinct ones).

The product of its digits is 3072, while the sum is 23.

The square root of 42324224 is about 6505.7070330595. The cubic root of 42324224 is about 348.4948260791.

Adding to 42324224 its reverse (42242324), we get a palindrome (84566548).

The spelling of 42324224 in words is "forty-two million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 5701 7424 11402 22804 45608 91216 165329 182432 330658 364864 661316 729728 1322632 1459456 2645264 5290528 10581056 21162112 42324224