Search a number
-
+
16426944 = 263219279
BaseRepresentation
bin111110101010…
…011111000000
31010220120112100
4332222133000
513201130234
61344030400
7256424652
oct76523700
933816470
1016426944
1192aa896
125602400
133531cb1
1422786d2
151697399
hexfaa7c0

16426944 has 126 divisors (see below), whose sum is σ = 50322480. Its totient is φ = 5121792.

The previous prime is 16426939. The next prime is 16426951. The reversal of 16426944 is 44962461.

16426944 is a `hidden beast` number, since 1 + 642 + 6 + 9 + 4 + 4 = 666.

16426944 is nontrivially palindromic in base 7.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 16426899 and 16426908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207897 + ... + 207975.

Almost surely, 216426944 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 16426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25161240).

16426944 is an abundant number, since it is smaller than the sum of its proper divisors (33895536).

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

16426944 is a wasteful number, since it uses less digits than its factorization.

16426944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 16426944 is about 4053.0166542959. The cubic root of 16426944 is about 254.2058801571.

The spelling of 16426944 in words is "sixteen million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 79 96 114 144 152 158 171 192 228 237 288 304 316 342 361 456 474 576 608 632 684 711 722 912 948 1083 1216 1264 1368 1422 1444 1501 1824 1896 2166 2528 2736 2844 2888 3002 3249 3648 3792 4332 4503 5056 5472 5688 5776 6004 6498 7584 8664 9006 10944 11376 11552 12008 12996 13509 15168 17328 18012 22752 23104 24016 25992 27018 28519 34656 36024 45504 48032 51984 54036 57038 69312 72048 85557 96064 103968 108072 114076 144096 171114 207936 216144 228152 256671 288192 342228 432288 456304 513342 684456 864576 912608 1026684 1368912 1825216 2053368 2737824 4106736 5475648 8213472 16426944