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26061828 = 22313271181
BaseRepresentation
bin110001101101…
…0110000000100
31211001002002220
41203122300010
523132434303
62330332340
7434344002
oct143326004
954032086
1026061828
1113790701
12888a0b0
135526600
143665a72
15244c053
hex18dac04

26061828 has 72 divisors (see below), whose sum is σ = 67144896. Its totient is φ = 7862400.

The previous prime is 26061821. The next prime is 26061839. The reversal of 26061828 is 82816062.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26061821) 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, 143898 + ... + 144078.

It is an arithmetic number, because the mean of its divisors is an integer number (932568).

Almost surely, 226061828 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 26061828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33572448).

26061828 is an abundant number, since it is smaller than the sum of its proper divisors (41083068).

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

26061828 is a wasteful number, since it uses less digits than its factorization.

26061828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 26061828 is about 5105.0786477781. The cubic root of 26061828 is about 296.4842481349.

The spelling of 26061828 in words is "twenty-six million, sixty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 169 181 213 284 338 362 426 507 543 676 724 852 923 1014 1086 1846 2028 2172 2353 2769 3692 4706 5538 7059 9412 11076 11999 12851 14118 23998 25702 28236 30589 35997 38553 47996 51404 61178 71994 77106 91767 122356 143988 154212 167063 183534 334126 367068 501189 668252 1002378 2004756 2171819 4343638 6515457 8687276 13030914 26061828