Search a number
-
+
26436096 = 29325737
BaseRepresentation
bin110010011011…
…0001000000000
31211202002111200
41210312020000
523231423341
62342341200
7440463111
oct144661000
954662450
1026436096
1113a16915
128a2a800
135627a7b
143722208
1524c2db6
hex1936200

26436096 has 60 divisors (see below), whose sum is σ = 76309662. Its totient is φ = 8810496.

The previous prime is 26436041. The next prime is 26436107. The reversal of 26436096 is 69063462.

26436096 is a `hidden beast` number, since 2 + 6 + 43 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26378496 + 57600 = 5136^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26436096.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1740 + ... + 7476.

Almost surely, 226436096 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 26436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38154831).

26436096 is an abundant number, since it is smaller than the sum of its proper divisors (49873566).

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

26436096 is an equidigital number, since it uses as much as digits as its factorization.

26436096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 26436096 is about 5141.6044188560. The cubic root of 26436096 is about 297.8967556702.

The spelling of 26436096 in words is "twenty-six million, four hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 5737 11474 17211 22948 34422 45896 51633 68844 91792 103266 137688 183584 206532 275376 367168 413064 550752 734336 826128 1101504 1468672 1652256 2203008 2937344 3304512 4406016 6609024 8812032 13218048 26436096