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42316224 = 263433509
BaseRepresentation
bin1010000101101…
…1000111000000
32221121212221120
42201123013000
541313104344
64110552240
71022452626
oct241330700
987555846
1042316224
1121982895
1212208680
1389c7bb2
145897516
153aad219
hex285b1c0

42316224 has 56 divisors (see below), whose sum is σ = 112440720. Its totient is φ = 14045184.

The previous prime is 42316217. The next prime is 42316229. The reversal of 42316224 is 42261324.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42316194 and 42316203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42316229) 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, 82882 + ... + 83390.

It is an arithmetic number, because the mean of its divisors is an integer number (2007870).

Almost surely, 242316224 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 42316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56220360).

42316224 is an abundant number, since it is smaller than the sum of its proper divisors (70124496).

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

42316224 is a wasteful number, since it uses less digits than its factorization.

42316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 42316224 is about 6505.0921592242. The cubic root of 42316224 is about 348.4728675408.

Adding to 42316224 its reverse (42261324), we get a palindrome (84577548).

The spelling of 42316224 in words is "forty-two million, three hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 433 509 866 1018 1299 1527 1732 2036 2598 3054 3464 4072 5196 6108 6928 8144 10392 12216 13856 16288 20784 24432 27712 32576 41568 48864 83136 97728 220397 440794 661191 881588 1322382 1763176 2644764 3526352 5289528 7052704 10579056 14105408 21158112 42316224