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255695648 = 251333637
BaseRepresentation
bin11110011110110…
…01101100100000
3122211010200111012
433033121230200
51010424230043
641212240052
76223243235
oct1717315440
9584120435
10255695648
11121373a1a
1271770028
1340c88000
1425d5d78c
15176aba18
hexf3d9b20

255695648 has 48 divisors (see below), whose sum is σ = 545481720. Its totient is φ = 117980928.

The previous prime is 255695633. The next prime is 255695663. The reversal of 255695648 is 846596552.

It is an interprime number because it is at equal distance from previous prime (255695633) and next prime (255695663).

It can be written as a sum of positive squares in 4 ways, for example, as 3139984 + 252555664 = 1772^2 + 15892^2 .

It is a super-2 number, since 2×2556956482 = 130760528812279808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 255695596 and 255695605.

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, 68486 + ... + 72122.

Almost surely, 2255695648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255695648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272740860).

255695648 is an abundant number, since it is smaller than the sum of its proper divisors (289786072).

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

255695648 is an equidigital number, since it uses as much as digits as its factorization.

255695648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3652 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 50.

The square root of 255695648 is about 15990.4861714708. The cubic root of 255695648 is about 634.7086914793.

The spelling of 255695648 in words is "two hundred fifty-five million, six hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2197 2704 3637 4394 5408 7274 8788 14548 17576 29096 35152 47281 58192 70304 94562 116384 189124 378248 614653 756496 1229306 1512992 2458612 4917224 7990489 9834448 15980978 19668896 31961956 63923912 127847824 255695648