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423162688 = 26132292221
BaseRepresentation
bin11001001110001…
…111001101000000
31002111020220002011
4121032033031000
51331312201223
6105553502304
713325552314
oct3116171500
91074226064
10423162688
111a7956433
12b9871994
1369891430
14402b3b44
152723b80d
hex1938f340

423162688 has 56 divisors (see below), whose sum is σ = 908664680. Its totient is φ = 194365440.

The previous prime is 423162583. The next prime is 423162703. The reversal of 423162688 is 886261324.

It can be written as a sum of positive squares in 4 ways, for example, as 115089984 + 308072704 = 10728^2 + 17552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 423162688.

It is a congruent number.

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, 189418 + ... + 191638.

It is an arithmetic number, because the mean of its divisors is an integer number (16226155).

Almost surely, 2423162688 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 423162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454332340).

423162688 is an abundant number, since it is smaller than the sum of its proper divisors (485501992).

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

423162688 is a wasteful number, since it uses less digits than its factorization.

423162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2465 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 423162688 is about 20570.9185016129. The cubic root of 423162688 is about 750.7622993076.

The spelling of 423162688 in words is "four hundred twenty-three million, one hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 229 416 458 832 916 1832 2221 2977 3664 4442 5954 7328 8884 11908 14656 17768 23816 28873 35536 47632 57746 71072 95264 115492 142144 190528 230984 461968 508609 923936 1017218 1847872 2034436 4068872 6611917 8137744 13223834 16275488 26447668 32550976 52895336 105790672 211581344 423162688