Search a number
-
+
74880936 = 2335132963
BaseRepresentation
bin1000111011010…
…01011110101000
312012220100100000
410131221132220
5123132142221
611232543000
71566322524
oct435513650
9165810300
1074880936
11392a5179
12210b1a60
131268a360
149d32d84
156891e26
hex47697a8

74880936 has 96 divisors (see below), whose sum is σ = 226568160. Its totient is φ = 23032512.

The previous prime is 74880913. The next prime is 74880941. The reversal of 74880936 is 63908847.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 74880891 and 74880900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23791 + ... + 26753.

It is an arithmetic number, because the mean of its divisors is an integer number (2360085).

Almost surely, 274880936 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 74880936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113284080).

74880936 is an abundant number, since it is smaller than the sum of its proper divisors (151687224).

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

74880936 is a wasteful number, since it uses less digits than its factorization.

74880936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 74880936 is about 8653.3771442137. The cubic root of 74880936 is about 421.4930534183.

The spelling of 74880936 in words is "seventy-four million, eight hundred eighty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 2963 3159 4212 5926 6318 8424 8889 11852 12636 17778 23704 25272 26667 35556 38519 53334 71112 77038 80001 106668 115557 154076 160002 213336 231114 240003 308152 320004 346671 462228 480006 640008 693342 720009 924456 960012 1040013 1386684 1440018 1920024 2080026 2773368 2880036 3120039 4160052 5760072 6240078 8320104 9360117 12480156 18720234 24960312 37440468 74880936