Search a number
-
+
26164524 = 22323472017
BaseRepresentation
bin110001111001…
…1110100101100
31211020021222110
41203303310230
523144231044
62332444020
7435252261
oct143636454
954207873
1026164524
1113850881
128919610
135561289
143691268
15246c6b9
hex18f3d2c

26164524 has 48 divisors (see below), whose sum is σ = 65092608. Its totient is φ = 8160768.

The previous prime is 26164507. The next prime is 26164543. The reversal of 26164524 is 42546162.

It is a super-2 number, since 2×261645242 = 1369164632293152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26164491 and 26164500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11964 + ... + 13980.

It is an arithmetic number, because the mean of its divisors is an integer number (1356096).

Almost surely, 226164524 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 26164524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32546304).

26164524 is an abundant number, since it is smaller than the sum of its proper divisors (38928084).

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

26164524 is a wasteful number, since it uses less digits than its factorization.

26164524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2092 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 26164524 is about 5115.1269778961. The cubic root of 26164524 is about 296.8731673977.

It can be divided in two parts, 2616 and 4524, that added together give a triangular number (7140 = T119).

The spelling of 26164524 in words is "twenty-six million, one hundred sixty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2017 2162 3243 4034 4324 6051 6486 8068 12102 12972 24204 46391 92782 94799 139173 185564 189598 278346 284397 379196 556692 568794 1137588 2180377 4360754 6541131 8721508 13082262 26164524