Search a number
-
+
256563612 = 22341971587
BaseRepresentation
bin11110100101011…
…01100110011100
3122212202210010000
433102231212130
51011140013422
641243014300
76233516604
oct1722554634
9585683100
10256563612
11121907048
1271b0a390
13412000b6
1426107c04
15177cdcac
hexf4ad99c

256563612 has 120 divisors (see below), whose sum is σ = 717171840. Its totient is φ = 79742880.

The previous prime is 256563611. The next prime is 256563617. The reversal of 256563612 is 216365652.

It is a happy number.

256563612 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 636 + 12 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256563611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 436783 + ... + 437369.

It is an arithmetic number, because the mean of its divisors is an integer number (5976432).

Almost surely, 2256563612 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 256563612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358585920).

256563612 is an abundant number, since it is smaller than the sum of its proper divisors (460608228).

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

256563612 is a wasteful number, since it uses less digits than its factorization.

256563612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 256563612 is about 16017.6031914890. The cubic root of 256563612 is about 635.4260575093.

The spelling of 256563612 in words is "two hundred fifty-six million, five hundred sixty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 81 108 114 142 162 171 213 228 284 324 342 426 513 587 639 684 852 1026 1174 1278 1349 1539 1761 1917 2052 2348 2556 2698 3078 3522 3834 4047 5283 5396 5751 6156 7044 7668 8094 10566 11153 11502 12141 15849 16188 21132 22306 23004 24282 31698 33459 36423 41677 44612 47547 48564 63396 66918 72846 83354 95094 100377 109269 125031 133836 145692 166708 190188 200754 218538 250062 301131 375093 401508 437076 500124 602262 750186 791863 903393 1125279 1204524 1500372 1583726 1806786 2250558 2375589 3167452 3375837 3613572 4501116 4751178 6751674 7126767 9502356 13503348 14253534 21380301 28507068 42760602 64140903 85521204 128281806 256563612