Search a number
-
+
26464896 = 273222973
BaseRepresentation
bin110010011110…
…1001010000000
31211210120000100
41210331022000
523233334041
62343122400
7440643063
oct144751200
954716010
1026464896
1113a36517
128a43400
135637c03
14372c8da
1524cb6b6
hex193d280

26464896 has 48 divisors (see below), whose sum is σ = 76158810. Its totient is φ = 8821248.

The previous prime is 26464877. The next prime is 26464897. The reversal of 26464896 is 69846462.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 4562496 = 4680^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (26464897) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10335 + ... + 12638.

Almost surely, 226464896 is an apocalyptic number.

It is an amenable number.

26464896 is an abundant number, since it is smaller than the sum of its proper divisors (49693914).

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

26464896 is a wasteful number, since it uses less digits than its factorization.

26464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22993 (or 22978 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 26464896 is about 5144.4043386966. The cubic root of 26464896 is about 298.0048945940.

The spelling of 26464896 in words is "twenty-six million, four hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 22973 45946 68919 91892 137838 183784 206757 275676 367568 413514 551352 735136 827028 1102704 1470272 1654056 2205408 2940544 3308112 4410816 6616224 8821632 13232448 26464896