Search a number
-
+
26666496 = 2934643
BaseRepresentation
bin110010110111…
…0011000000000
31212011210120000
41211232120000
523311311441
62351320000
7442442613
oct145563000
955153500
1026666496
1114063a2a
128b20000
1356a88bc
14378217a
15251b2b6
hex196e600

26666496 has 100 divisors (see below), whose sum is σ = 79716252. Its totient is φ = 8875008.

The previous prime is 26666483. The next prime is 26666503. The reversal of 26666496 is 69466662.

It is a super-2 number, since 2×266664962 = 1422204017836032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (559872) is a multiple of the sum of its prime divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41151 + ... + 41793.

Almost surely, 226666496 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 26666496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39858126).

26666496 is an abundant number, since it is smaller than the sum of its proper divisors (53049756).

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

26666496 is an frugal number, since it uses more digits than its factorization.

26666496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 648 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 26666496 is about 5163.9612701878. The cubic root of 26666496 is about 298.7596790804.

The spelling of 26666496 in words is "twenty-six million, six hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 643 648 768 864 1152 1286 1296 1536 1728 1929 2304 2572 2592 3456 3858 4608 5144 5184 5787 6912 7716 10288 10368 11574 13824 15432 17361 20576 20736 23148 30864 34722 41152 41472 46296 52083 61728 69444 82304 92592 104166 123456 138888 164608 185184 208332 246912 277776 329216 370368 416664 493824 555552 740736 833328 987648 1111104 1481472 1666656 2222208 2962944 3333312 4444416 6666624 8888832 13333248 26666496