Search a number
-
+
27260046 = 2321137612
BaseRepresentation
bin110011111111…
…1010010001110
31220021221202100
41213333102032
523434310141
62412135530
7450464232
oct147772216
956257670
1027260046
1114429970
1291675a6
135855b08
1438985c2
1525d70b6
hex19ff48e

27260046 has 72 divisors (see below), whose sum is σ = 67276872. Its totient is φ = 7905600.

The previous prime is 27260021. The next prime is 27260053. The reversal of 27260046 is 64006272.

It is a super-2 number, since 2×272600462 = 1486220215844232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446856 + ... + 446916.

It is an arithmetic number, because the mean of its divisors is an integer number (934401).

Almost surely, 227260046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27260046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33638436).

27260046 is an abundant number, since it is smaller than the sum of its proper divisors (40016826).

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

27260046 is a wasteful number, since it uses less digits than its factorization.

27260046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 27260046 is about 5221.1153980735. The cubic root of 27260046 is about 300.9600576867.

The spelling of 27260046 in words is "twenty-seven million, two hundred sixty thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 61 66 74 99 111 122 183 198 222 333 366 407 549 666 671 814 1098 1221 1342 2013 2257 2442 3663 3721 4026 4514 6039 6771 7326 7442 11163 12078 13542 20313 22326 24827 33489 40626 40931 49654 66978 74481 81862 122793 137677 148962 223443 245586 275354 368379 413031 446886 736758 826062 1239093 1514447 2478186 3028894 4543341 9086682 13630023 27260046