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426627936 = 25327431491
BaseRepresentation
bin11001011011011…
…101001101100000
31002201202221111200
4121123131031200
51333204043221
6110200041200
713400164140
oct3133351540
91081687450
10426627936
111a9902979
12baa63200
136a505787
1440936920
15276c3426
hex196dd360

426627936 has 144 divisors (see below), whose sum is σ = 1392588288. Its totient is φ = 121363200.

The previous prime is 426627923. The next prime is 426627953. The reversal of 426627936 is 639726624.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4266279362 = 364022791551240192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 426627891 and 426627900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868651 + ... + 869141.

It is an arithmetic number, because the mean of its divisors is an integer number (9670752).

Almost surely, 2426627936 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 426627936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696294144).

426627936 is an abundant number, since it is smaller than the sum of its proper divisors (965960352).

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

426627936 is a wasteful number, since it uses less digits than its factorization.

426627936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 426627936 is about 20654.9736383274. The cubic root of 426627936 is about 752.8060430701.

The spelling of 426627936 in words is "four hundred twenty-six million, six hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 431 491 504 672 862 982 1008 1293 1473 1724 1964 2016 2586 2946 3017 3437 3448 3879 3928 4419 5172 5892 6034 6874 6896 7758 7856 8838 9051 10311 10344 11784 12068 13748 13792 15516 15712 17676 18102 20622 20688 23568 24136 27153 27496 30933 31032 35352 36204 41244 41376 47136 48272 54306 54992 61866 62064 70704 72408 82488 96544 108612 109984 123732 124128 141408 144816 164976 211621 217224 247464 289632 329952 423242 434448 494928 634863 846484 868896 989856 1269726 1481347 1692968 1904589 2539452 2962694 3385936 3809178 4444041 5078904 5925388 6771872 7618356 8888082 10157808 11850776 13332123 15236712 17776164 20315616 23701552 26664246 30473424 35552328 47403104 53328492 60946848 71104656 106656984 142209312 213313968 426627936