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256661472 = 2532673557
BaseRepresentation
bin11110100110001…
…01011111100000
3122212221202100110
433103011133200
51011201131342
641245051320
76234405114
oct1723053740
9585852313
10256661472
11121973621
1271b56b40
13412357c2
1426131744
15177ecc9c
hexf4c57e0

256661472 has 24 divisors (see below), whose sum is σ = 673736616. Its totient is φ = 85553792.

The previous prime is 256661467. The next prime is 256661497. The reversal of 256661472 is 274166652.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2566614723 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 256661472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1336683 + ... + 1336874.

It is an arithmetic number, because the mean of its divisors is an integer number (28072359).

Almost surely, 2256661472 is an apocalyptic number.

It is an amenable number.

256661472 is an abundant number, since it is smaller than the sum of its proper divisors (417075144).

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

256661472 is a wasteful number, since it uses less digits than its factorization.

256661472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673570 (or 2673562 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 256661472 is about 16020.6576644032. The cubic root of 256661472 is about 635.5068365529.

The spelling of 256661472 in words is "two hundred fifty-six million, six hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2673557 5347114 8020671 10694228 16041342 21388456 32082684 42776912 64165368 85553824 128330736 256661472