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426816 = 26331319
BaseRepresentation
bin1101000001101000000
3210200111000
41220031000
5102124231
613052000
73425235
oct1501500
9720430
10426816
11271745
12187000
1311c370
14b178c
15866e6
hex68340

426816 has 112 divisors (see below), whose sum is σ = 1422400. Its totient is φ = 124416.

The previous prime is 426799. The next prime is 426841. The reversal of 426816 is 618624.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 426816.

It is a congruent number.

It is an unprimeable number.

426816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22455 + ... + 22473.

It is an arithmetic number, because the mean of its divisors is an integer number (12700).

2426816 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 426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711200).

426816 is an abundant number, since it is smaller than the sum of its proper divisors (995584).

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

426816 is a wasteful number, since it uses less digits than its factorization.

426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 37 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 426816 is about 653.3115642632. The cubic root of 426816 is about 75.2916642889.

The spelling of 426816 in words is "four hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 96 104 108 114 117 144 152 156 171 192 208 216 228 234 247 288 304 312 342 351 416 432 456 468 494 513 576 608 624 684 702 741 832 864 912 936 988 1026 1216 1248 1368 1404 1482 1728 1824 1872 1976 2052 2223 2496 2736 2808 2964 3648 3744 3952 4104 4446 5472 5616 5928 6669 7488 7904 8208 8892 10944 11232 11856 13338 15808 16416 17784 22464 23712 26676 32832 35568 47424 53352 71136 106704 142272 213408 426816