Search a number
-
+
155778768 = 24332111709
BaseRepresentation
bin10010100100011…
…11111011010000
3101212010101022000
421102033323100
5304334410033
623242514000
73601045335
oct1122177320
9355111260
10155778768
117aa29992
1244205900
13263732b2
141699098c
15da21a13
hex948fed0

155778768 has 80 divisors (see below), whose sum is σ = 449524800. Its totient is φ = 51649920.

The previous prime is 155778743. The next prime is 155778773. The reversal of 155778768 is 867877551.

It is a happy number.

155778768 is a `hidden beast` number, since 1 + 5 + 577 + 8 + 7 + 68 = 666.

155778768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90298 + ... + 92006.

It is an arithmetic number, because the mean of its divisors is an integer number (5619060).

Almost surely, 2155778768 is an apocalyptic number.

155778768 is a gapful number since it is divisible by the number (18) 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 155778768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224762400).

155778768 is an abundant number, since it is smaller than the sum of its proper divisors (293746032).

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

155778768 is a wasteful number, since it uses less digits than its factorization.

155778768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1925 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 54.

The square root of 155778768 is about 12481.1364867147. The cubic root of 155778768 is about 538.0666666970.

The spelling of 155778768 in words is "one hundred fifty-five million, seven hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 211 216 422 432 633 844 1266 1688 1709 1899 2532 3376 3418 3798 5064 5127 5697 6836 7596 10128 10254 11394 13672 15192 15381 20508 22788 27344 30384 30762 41016 45576 46143 61524 82032 91152 92286 123048 184572 246096 360599 369144 721198 738288 1081797 1442396 2163594 2884792 3245391 4327188 5769584 6490782 8654376 9736173 12981564 17308752 19472346 25963128 38944692 51926256 77889384 155778768