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426011364 = 2232171375081
BaseRepresentation
bin11001011001000…
…110101011100100
31002200121121201200
4121121012223210
51333024330424
6110134522500
713362015432
oct3131065344
91080547650
10426011364
111a9521709
12ba806430
136a34ac3c
1440815d52
15276008c9
hex19646ae4

426011364 has 72 divisors (see below), whose sum is σ = 1148755608. Its totient is φ = 132648960.

The previous prime is 426011357. The next prime is 426011419. The reversal of 426011364 is 463110624.

426011364 is a `hidden beast` number, since 42 + 601 + 13 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58982400 + 367028964 = 7680^2 + 19158^2 .

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, 81304 + ... + 86384.

It is an arithmetic number, because the mean of its divisors is an integer number (15954939).

Almost surely, 2426011364 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 426011364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574377804).

426011364 is an abundant number, since it is smaller than the sum of its proper divisors (722744244).

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

426011364 is a wasteful number, since it uses less digits than its factorization.

426011364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 426011364 is about 20640.0427325139. The cubic root of 426011364 is about 752.4432109843.

Adding to 426011364 its reverse (463110624), we get a palindrome (889121988).

The spelling of 426011364 in words is "four hundred twenty-six million, eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 306 411 548 612 822 1233 1644 2329 2466 4658 4932 5081 6987 9316 10162 13974 15243 20324 20961 27948 30486 41922 45729 60972 83844 86377 91458 172754 182916 259131 345508 518262 696097 777393 1036524 1392194 1554786 2088291 2784388 3109572 4176582 6264873 8353164 11833649 12529746 23667298 25059492 35500947 47334596 71001894 106502841 142003788 213005682 426011364