Search a number
-
+
26589381 = 371397397
BaseRepresentation
bin110010101101…
…1100011000101
31212000212202220
41211123203011
523301330011
62345522553
7442002030
oct145334305
955025686
1026589381
1114010aa5
128aa3459
13567c780
143762017
152503506
hex195b8c5

26589381 has 16 divisors (see below), whose sum is σ = 43634304. Its totient is φ = 14025024.

The previous prime is 26589337. The next prime is 26589383. The reversal of 26589381 is 18398562.

It is not a de Polignac number, because 26589381 - 27 = 26589253 is a prime.

It is a super-4 number, since 4×265893814 (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26589383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48426 + ... + 48971.

It is an arithmetic number, because the mean of its divisors is an integer number (2727144).

Almost surely, 226589381 is an apocalyptic number.

26589381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26589381 is a deficient number, since it is larger than the sum of its proper divisors (17044923).

26589381 is a wasteful number, since it uses less digits than its factorization.

26589381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97420.

The product of its digits is 103680, while the sum is 42.

The square root of 26589381 is about 5156.4892126330. The cubic root of 26589381 is about 298.4714135286.

The spelling of 26589381 in words is "twenty-six million, five hundred eighty-nine thousand, three hundred eighty-one".

Divisors: 1 3 7 13 21 39 91 273 97397 292191 681779 1266161 2045337 3798483 8863127 26589381