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426062916 = 223419671033
BaseRepresentation
bin11001011001010…
…011010001000100
31002200201020110000
4121121103101010
51333033003131
6110140001300
713362321636
oct3131232104
91080636400
10426062916
111a9557414
12ba830230
136a368546
144082aa56
1527610ce6
hex19653444

426062916 has 120 divisors (see below), whose sum is σ = 1191085280. Its totient is φ = 132409728.

The previous prime is 426062887. The next prime is 426062921. The reversal of 426062916 is 619260624.

426062916 is a `hidden beast` number, since 4 + 26 + 0 + 629 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411936 + ... + 412968.

Almost surely, 2426062916 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 426062916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595542640).

426062916 is an abundant number, since it is smaller than the sum of its proper divisors (765022364).

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

426062916 is a wasteful number, since it uses less digits than its factorization.

426062916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 426062916 is about 20641.2915293593. The cubic root of 426062916 is about 752.4735610259.

It can be divided in two parts, 4260 and 62916, that added together give a palindrome (67176).

The spelling of 426062916 in words is "four hundred twenty-six million, sixty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 67 76 81 108 114 134 162 171 201 228 268 324 342 402 513 603 684 804 1026 1033 1206 1273 1539 1809 2052 2066 2412 2546 3078 3099 3618 3819 4132 5092 5427 6156 6198 7236 7638 9297 10854 11457 12396 15276 18594 19627 21708 22914 27891 34371 37188 39254 45828 55782 58881 68742 69211 78508 83673 103113 111564 117762 137484 138422 167346 176643 206226 207633 235524 276844 334692 353286 412452 415266 529929 622899 706572 830532 1059858 1245798 1315009 1589787 1868697 2119716 2491596 2630018 3179574 3737394 3945027 5260036 5606091 6359148 7474788 7890054 11212182 11835081 15780108 22424364 23670162 35505243 47340324 71010486 106515729 142020972 213031458 426062916