Search a number
-
+
26147961 = 337138349
BaseRepresentation
bin110001110111…
…1110001111001
31211012110021000
41203233301321
523143213321
62332235213
7435153060
oct143576171
954173230
1026147961
111383a394
12890bb09
135556888
1436891d7
152467826
hex18efc79

26147961 has 16 divisors (see below), whose sum is σ = 44272000. Its totient is φ = 14941584.

The previous prime is 26147939. The next prime is 26147963. The reversal of 26147961 is 16974162.

It is not a de Polignac number, because 26147961 - 25 = 26147929 is a prime.

It is a super-3 number, since 3×261479613 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (26147963) 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, 68986 + ... + 69363.

It is an arithmetic number, because the mean of its divisors is an integer number (2767000).

Almost surely, 226147961 is an apocalyptic number.

26147961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26147961 is a deficient number, since it is larger than the sum of its proper divisors (18124039).

26147961 is a wasteful number, since it uses less digits than its factorization.

26147961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138365 (or 138359 counting only the distinct ones).

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

The square root of 26147961 is about 5113.5077001995. The cubic root of 26147961 is about 296.8105106976.

The spelling of 26147961 in words is "twenty-six million, one hundred forty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 189 138349 415047 968443 1245141 2905329 3735423 8715987 26147961