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426638772 = 223371035479
BaseRepresentation
bin11001011011011…
…111110110110100
31002201210111101000
4121123133312310
51333204420042
6110200203300
713400240550
oct3133376664
91081714330
10426638772
111a991002a
12baa69530
136a50a6a1
144093a860
15276c674c
hex196dfdb4

426638772 has 96 divisors (see below), whose sum is σ = 1276620800. Its totient is φ = 120691296.

The previous prime is 426638767. The next prime is 426638813. The reversal of 426638772 is 277836624.

426638772 is a `hidden beast` number, since 4 + 2 + 6 + 638 + 7 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75129 + ... + 80607.

Almost surely, 2426638772 is an apocalyptic number.

426638772 is a gapful number since it is divisible by the number (42) 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 426638772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638310400).

426638772 is an abundant number, since it is smaller than the sum of its proper divisors (849982028).

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

426638772 is a wasteful number, since it uses less digits than its factorization.

426638772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5594 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 426638772 is about 20655.2359463648. The cubic root of 426638772 is about 752.8124165683.

The spelling of 426638772 in words is "four hundred twenty-six million, six hundred thirty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1236 1442 1854 2163 2781 2884 3708 4326 5479 5562 6489 8652 10958 11124 12978 16437 19467 21916 25956 32874 38353 38934 49311 65748 76706 77868 98622 115059 147933 153412 197244 230118 295866 345177 460236 564337 591732 690354 1035531 1128674 1380708 1693011 2071062 2257348 3386022 3950359 4142124 5079033 6772044 7900718 10158066 11851077 15237099 15801436 20316132 23702154 30474198 35553231 47404308 60948396 71106462 106659693 142212924 213319386 426638772