Search a number
-
+
256634208 = 2532891091
BaseRepresentation
bin11110100101111…
…10110101100000
3122212220100221200
433102332311200
51011144243313
641244321200
76234232455
oct1722766540
9585810850
10256634208
11121955096
1271b43200
134122627c
142612582c
15177e4b73
hexf4bed60

256634208 has 36 divisors (see below), whose sum is σ = 729804348. Its totient is φ = 85544640.

The previous prime is 256634179. The next prime is 256634219. The reversal of 256634208 is 802436652.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2566342082 = 131722233431574528, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 445258 + ... + 445833.

It is an arithmetic number, because the mean of its divisors is an integer number (20272343).

Almost surely, 2256634208 is an apocalyptic number.

It is an amenable number.

256634208 is an abundant number, since it is smaller than the sum of its proper divisors (473170140).

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

256634208 is a wasteful number, since it uses less digits than its factorization.

256634208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891107 (or 891096 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 256634208 is about 16019.8067404073. The cubic root of 256634208 is about 635.4843334066.

The spelling of 256634208 in words is "two hundred fifty-six million, six hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 891091 1782182 2673273 3564364 5346546 7128728 8019819 10693092 14257456 16039638 21386184 28514912 32079276 42772368 64158552 85544736 128317104 256634208