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26942656 = 261324753
BaseRepresentation
bin110011011000…
…1110011000000
31212200211101011
41212301303000
523344131111
62401250304
7445003006
oct146616300
955624334
1026942656
1114232464
129033994
135774500
143814a76
152573021
hex19b1cc0

26942656 has 84 divisors (see below), whose sum is σ = 60240672. Its totient is φ = 11940864.

The previous prime is 26942633. The next prime is 26942681. The reversal of 26942656 is 65624962.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508326 + ... + 508378.

Almost surely, 226942656 is an apocalyptic number.

26942656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30120336).

26942656 is an abundant number, since it is smaller than the sum of its proper divisors (33298016).

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

26942656 is a wasteful number, since it uses less digits than its factorization.

26942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 26942656 is about 5190.6315608026. The cubic root of 26942656 is about 299.7874642789.

The spelling of 26942656 in words is "twenty-six million, nine hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 53 64 94 104 106 169 188 208 212 338 376 416 424 611 676 689 752 832 848 1222 1352 1378 1504 1696 2444 2491 2704 2756 3008 3392 4888 4982 5408 5512 7943 8957 9776 9964 10816 11024 15886 17914 19552 19928 22048 31772 32383 35828 39104 39856 44096 63544 64766 71656 79712 127088 129532 143312 159424 254176 259064 286624 420979 508352 518128 573248 841958 1036256 1683916 2072512 3367832 6735664 13471328 26942656