Search a number
-
+
256454646 = 237232571033
BaseRepresentation
bin11110100100100…
…10111111110110
3122212120020122020
433102102333312
51011123022041
641240414010
76232554120
oct1722227766
9585506566
10256454646
11121842198
1271a77306
1341192616
14260ba210
15177ab866
hexf492ff6

256454646 has 64 divisors (see below), whose sum is σ = 614642688. Its totient is φ = 69746688.

The previous prime is 256454629. The next prime is 256454677. The reversal of 256454646 is 646454652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 256454598 and 256454607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247746 + ... + 248778.

It is an arithmetic number, because the mean of its divisors is an integer number (9603792).

Almost surely, 2256454646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256454646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307321344).

256454646 is an abundant number, since it is smaller than the sum of its proper divisors (358188042).

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

256454646 is a wasteful number, since it uses less digits than its factorization.

256454646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325.

The product of its digits is 691200, while the sum is 42.

The square root of 256454646 is about 16014.2013850207. The cubic root of 256454646 is about 635.3360867870.

The spelling of 256454646 in words is "two hundred fifty-six million, four hundred fifty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 257 322 483 514 771 966 1033 1542 1799 2066 3099 3598 5397 5911 6198 7231 10794 11822 14462 17733 21693 23759 35466 41377 43386 47518 71277 82754 124131 142554 166313 248262 265481 332626 498939 530962 796443 997878 1592886 1858367 3716734 5575101 6106063 11150202 12212126 18318189 36636378 42742441 85484882 128227323 256454646