Search a number
-
+
26945664 = 273471493
BaseRepresentation
bin110011011001…
…0100010000000
31212200222111120
41212302202000
523344230124
62401312240
7445014534
oct146624200
955628446
1026945664
1114234749
129035680
1357759a5
143815bc4
152573d79
hex19b2880

26945664 has 64 divisors (see below), whose sum is σ = 73146240. Its totient is φ = 8784896.

The previous prime is 26945647. The next prime is 26945671. The reversal of 26945664 is 46654962.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17302 + ... + 18794.

It is an arithmetic number, because the mean of its divisors is an integer number (1142910).

Almost surely, 226945664 is an apocalyptic number.

26945664 is a gapful number since it is divisible by the number (24) 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 26945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36573120).

26945664 is an abundant number, since it is smaller than the sum of its proper divisors (46200576).

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

26945664 is a wasteful number, since it uses less digits than its factorization.

26945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1545 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 26945664 is about 5190.9213055102. The cubic root of 26945664 is about 299.7986204067.

The spelling of 26945664 in words is "twenty-six million, nine hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1493 1504 2256 2986 3008 4479 4512 5972 6016 8958 9024 11944 17916 18048 23888 35832 47776 70171 71664 95552 140342 143328 191104 210513 280684 286656 421026 561368 573312 842052 1122736 1684104 2245472 3368208 4490944 6736416 8981888 13472832 26945664