Search a number
-
+
155768256 = 2632725519
BaseRepresentation
bin10010100100011…
…01010111000000
3101212002211212200
421102031113000
5304334041011
623242353200
73601002600
oct1122152700
9355084780
10155768256
117aa21aa6
12441bb800
132636b587
141698ac00
15da1d856
hex948d5c0

155768256 has 126 divisors (see below), whose sum is σ = 519470640. Its totient is φ = 44497152.

The previous prime is 155768243. The next prime is 155768279. The reversal of 155768256 is 652867551.

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25465 + ... + 30983.

Almost surely, 2155768256 is an apocalyptic number.

155768256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259735320).

155768256 is an abundant number, since it is smaller than the sum of its proper divisors (363702384).

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

155768256 is a wasteful number, since it uses less digits than its factorization.

155768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5531 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 155768256 is about 12480.7153641127. The cubic root of 155768256 is about 538.0545634558.

It can be divided in two parts, 15576 and 8256, that added together give a palindrome (23832).

The spelling of 155768256 in words is "one hundred fifty-five million, seven hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 5519 7056 9408 11038 14112 16557 22076 28224 33114 38633 44152 49671 66228 77266 88304 99342 115899 132456 154532 176608 198684 231798 264912 270431 309064 347697 353216 397368 463596 529824 540862 618128 695394 794736 811293 927192 1059648 1081724 1236256 1390788 1589472 1622586 1854384 2163448 2433879 2472512 2781576 3178944 3245172 3708768 4326896 4867758 5563152 6490344 7417536 8653792 9735516 11126304 12980688 17307584 19471032 22252608 25961376 38942064 51922752 77884128 155768256