Search a number
-
+
155318328 = 233211672927
BaseRepresentation
bin10010100000111…
…11100000111000
3101211020222200200
421100133200320
5304230141303
623225002200
73564120054
oct1120374070
9354228620
10155318328
117a744a60
1244023360
1326241849
14168b0c64
15d9803a3
hex941f838

155318328 has 96 divisors (see below), whose sum is σ = 465903360. Its totient is φ = 46347840.

The previous prime is 155318321. The next prime is 155318329. The reversal of 155318328 is 823813551.

155318328 is a `hidden beast` number, since 1 + 553 + 1 + 83 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 155318292 and 155318301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155318321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51601 + ... + 54527.

It is an arithmetic number, because the mean of its divisors is an integer number (4853160).

Almost surely, 2155318328 is an apocalyptic number.

155318328 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 155318328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232951680).

155318328 is an abundant number, since it is smaller than the sum of its proper divisors (310585032).

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

155318328 is a wasteful number, since it uses less digits than its factorization.

155318328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3010 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 155318328 is about 12462.6774009440. The cubic root of 155318328 is about 537.5360169123.

It can be divided in two parts, 1553 and 18328, that added together give a square (19881 = 1412).

The spelling of 155318328 in words is "one hundred fifty-five million, three hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 2211 2412 2927 2948 4422 4824 5854 5896 6633 8781 8844 11708 13266 17562 17688 23416 26343 26532 32197 35124 52686 53064 64394 70248 96591 105372 128788 193182 196109 210744 257576 289773 386364 392218 579546 588327 772728 784436 1159092 1176654 1568872 1764981 2157199 2318184 2353308 3529962 4314398 4706616 6471597 7059924 8628796 12943194 14119848 17257592 19414791 25886388 38829582 51772776 77659164 155318328