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422524544 = 2713318191
BaseRepresentation
bin11001001011110…
…011011010000000
31002110001110201012
4121023303122000
51331131241134
6105532100052
713320253661
oct3113633200
91073043635
10422524544
111a755aa42
12b9604628
13696c9b30
1440189368
15271626ce
hex192f3680

422524544 has 64 divisors (see below), whose sum is σ = 935854080. Its totient is φ = 188697600.

The previous prime is 422524537. The next prime is 422524573. The reversal of 422524544 is 445425224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 422524544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47489 + ... + 55679.

It is an arithmetic number, because the mean of its divisors is an integer number (14622720).

Almost surely, 2422524544 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 422524544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467927040).

422524544 is an abundant number, since it is smaller than the sum of its proper divisors (513329536).

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

422524544 is a wasteful number, since it uses less digits than its factorization.

422524544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8237 counting only the distinct ones).

The product of its digits is 51200, while the sum is 32.

The square root of 422524544 is about 20555.4018204461. The cubic root of 422524544 is about 750.3847175857.

Adding to 422524544 its reverse (445425224), we get a palindrome (867949768).

The spelling of 422524544 in words is "four hundred twenty-two million, five hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 3224 3968 6448 8191 12896 16382 25792 32764 51584 65528 106483 131056 212966 253921 262112 425932 507842 524224 851864 1015684 1048448 1703728 2031368 3300973 3407456 4062736 6601946 6814912 8125472 13203892 13629824 16250944 26407784 32501888 52815568 105631136 211262272 422524544