Search a number
-
+
21449792 = 2671329127
BaseRepresentation
bin101000111010…
…0110001000000
31111100202120202
41101310301000
520442343132
62043424332
7350214560
oct121646100
944322522
1021449792
1111120601
1272250a8
1345a02b0
142bc4da0
151d3a762
hex1474c40

21449792 has 112 divisors (see below), whose sum is σ = 54620160. Its totient is φ = 8128512.

The previous prime is 21449761. The next prime is 21449797. The reversal of 21449792 is 29794412.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (21449797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168833 + ... + 168959.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 221449792 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 21449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310080).

21449792 is an abundant number, since it is smaller than the sum of its proper divisors (33170368).

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

21449792 is a wasteful number, since it uses less digits than its factorization.

21449792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 21449792 is about 4631.3920153664. The cubic root of 21449792 is about 277.8482687354.

The spelling of 21449792 in words is "twenty-one million, four hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 127 182 203 208 224 232 254 364 377 406 416 448 464 508 728 754 812 832 889 928 1016 1456 1508 1624 1651 1778 1856 2032 2639 2912 3016 3248 3302 3556 3683 4064 5278 5824 6032 6496 6604 7112 7366 8128 10556 11557 12064 12992 13208 14224 14732 21112 23114 24128 25781 26416 28448 29464 42224 46228 47879 51562 52832 56896 58928 84448 92456 95758 103124 105664 117856 168896 184912 191516 206248 235712 335153 369824 383032 412496 670306 739648 766064 824992 1340612 1532128 1649984 2681224 3064256 5362448 10724896 21449792