Search a number
-
+
74827116 = 223272132251
BaseRepresentation
bin1000111010111…
…00010101101100
312012210121111200
410131130111230
5123123431431
611231445500
71566006600
oct435342554
9165717450
1074827116
11392687a1
1221086890
131266ba00
149d1b500
156880ee6
hex475c56c

74827116 has 162 divisors, whose sum is σ = 239203692. Its totient is φ = 19656000.

The previous prime is 74827097. The next prime is 74827121. The reversal of 74827116 is 61172847.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 297991 + ... + 298241.

It is an arithmetic number, because the mean of its divisors is an integer number (1476566).

Almost surely, 274827116 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 74827116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119601846).

74827116 is an abundant number, since it is smaller than the sum of its proper divisors (164376576).

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

74827116 is a wasteful number, since it uses less digits than its factorization.

74827116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 74827116 is about 8650.2668166942. The cubic root of 74827116 is about 421.3920477670.

The spelling of 74827116 in words is "seventy-four million, eight hundred twenty-seven thousand, one hundred sixteen".