Search a number
-
+
21893472 = 2532194001
BaseRepresentation
bin101001110000…
…1000101100000
31112012022012100
41103201011200
521101042342
62101130400
7354043236
oct123410540
945168170
1021893472
11113a3987
1273b9a00
1346c7223
142c9c956
151dc6e4c
hex14e1160

21893472 has 72 divisors (see below), whose sum is σ = 65552760. Its totient is φ = 6912000.

The previous prime is 21893461. The next prime is 21893477. The reversal of 21893472 is 27439812.

21893472 is a `hidden beast` number, since 2 + 189 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21893477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3472 + ... + 7472.

It is an arithmetic number, because the mean of its divisors is an integer number (910455).

Almost surely, 221893472 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 21893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32776380).

21893472 is an abundant number, since it is smaller than the sum of its proper divisors (43659288).

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

21893472 is a wasteful number, since it uses less digits than its factorization.

21893472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4025 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 21893472 is about 4679.0460566231. The cubic root of 21893472 is about 279.7509349805.

The spelling of 21893472 in words is "twenty-one million, eight hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 4001 5472 8002 12003 16004 24006 32008 36009 48012 64016 72018 76019 96024 128032 144036 152038 192048 228057 288072 304076 384096 456114 576144 608152 684171 912228 1152288 1216304 1368342 1824456 2432608 2736684 3648912 5473368 7297824 10946736 21893472