Search a number
-
+
21927948 = 2237416367
BaseRepresentation
bin101001110100…
…1100000001100
31112021001111020
41103221200030
521103143243
62101554140
7354245610
oct123514014
945231436
1021927948
1111417879
127415950
134709b23
142cab340
151dd2283
hex14e980c

21927948 has 48 divisors (see below), whose sum is σ = 59910144. Its totient is φ = 6111360.

The previous prime is 21927937. The next prime is 21927949. The reversal of 21927948 is 84972912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (21927949) 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, 261 + ... + 6627.

It is an arithmetic number, because the mean of its divisors is an integer number (1248128).

Almost surely, 221927948 is an apocalyptic number.

21927948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21927948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29955072).

21927948 is an abundant number, since it is smaller than the sum of its proper divisors (37982196).

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

21927948 is a wasteful number, since it uses less digits than its factorization.

21927948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6420 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 21927948 is about 4682.7286916925. The cubic root of 21927948 is about 279.8977007243.

The spelling of 21927948 in words is "twenty-one million, nine hundred twenty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 6367 12734 19101 25468 38202 44569 76404 89138 133707 178276 261047 267414 522094 534828 783141 1044188 1566282 1827329 3132564 3654658 5481987 7309316 10963974 21927948