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26090496 = 2103219149
BaseRepresentation
bin110001110000…
…1110000000000
31211002112102200
41203201300000
523134343441
62331113200
7434523405
oct143416000
954075380
1026090496
11138001a3
1288a2800
135536683
1436722ac
1524557b6
hex18e1c00

26090496 has 132 divisors (see below), whose sum is σ = 79833000. Its totient is φ = 8183808.

The previous prime is 26090489. The next prime is 26090497. The reversal of 26090496 is 69409062.

26090496 is a `hidden beast` number, since 2 + 609 + 0 + 49 + 6 = 666.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26090496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26090497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175030 + ... + 175178.

Almost surely, 226090496 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 26090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916500).

26090496 is an abundant number, since it is smaller than the sum of its proper divisors (53742504).

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

26090496 is a wasteful number, since it uses less digits than its factorization.

26090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 26090496 is about 5107.8856682584. The cubic root of 26090496 is about 296.5929191487.

The spelling of 26090496 in words is "twenty-six million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 149 152 171 192 228 256 288 298 304 342 384 447 456 512 576 596 608 684 768 894 912 1024 1152 1192 1216 1341 1368 1536 1788 1824 2304 2384 2432 2682 2736 2831 3072 3576 3648 4608 4768 4864 5364 5472 5662 7152 7296 8493 9216 9536 9728 10728 10944 11324 14304 14592 16986 19072 19456 21456 21888 22648 25479 28608 29184 33972 38144 42912 43776 45296 50958 57216 58368 67944 76288 85824 87552 90592 101916 114432 135888 152576 171648 175104 181184 203832 228864 271776 343296 362368 407664 457728 543552 686592 724736 815328 1087104 1373184 1449472 1630656 2174208 2898944 3261312 4348416 6522624 8696832 13045248 26090496