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21279492 = 223213411109
BaseRepresentation
bin101000100101…
…1001100000100
31111001002222100
41101023030010
520421420432
62040032100
7345605223
oct121131404
944032870
1021279492
1111014663
127162630
134540920
142b7ccba
151d0507c
hex144b304

21279492 has 72 divisors (see below), whose sum is σ = 59393880. Its totient is φ = 6382080.

The previous prime is 21279469. The next prime is 21279493. The reversal of 21279492 is 29497212.

It can be written as a sum of positive squares in 4 ways, for example, as 3437316 + 17842176 = 1854^2 + 4224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21279493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18634 + ... + 19742.

It is an arithmetic number, because the mean of its divisors is an integer number (824915).

Almost surely, 221279492 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 21279492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29696940).

21279492 is an abundant number, since it is smaller than the sum of its proper divisors (38114388).

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

21279492 is a wasteful number, since it uses less digits than its factorization.

21279492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1168 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 21279492 is about 4612.9699760566. The cubic root of 21279492 is about 277.1109913309.

The spelling of 21279492 in words is "twenty-one million, two hundred seventy-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1109 1476 1599 2132 2218 3198 3327 4436 4797 6396 6654 9594 9981 13308 14417 19188 19962 28834 39924 43251 45469 57668 86502 90938 129753 136407 173004 181876 259506 272814 409221 519012 545628 591097 818442 1182194 1636884 1773291 2364388 3546582 5319873 7093164 10639746 21279492