Search a number
-
+
113649008 = 24112471249
BaseRepresentation
bin1101100011000…
…10010101110000
321220211222010112
412301202111300
5213043232013
615135520452
72550000134
oct661422560
9256758115
10113649008
1159174200
1232089128
131a712245
14111453c4
159e9dba8
hex6c62570

113649008 has 60 divisors (see below), whose sum is σ = 247380000. Its totient is φ = 50519040.

The previous prime is 113649001. The next prime is 113649017. The reversal of 113649008 is 800946311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113649001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90368 + ... + 91616.

It is an arithmetic number, because the mean of its divisors is an integer number (4123000).

Almost surely, 2113649008 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 113649008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690000).

113649008 is an abundant number, since it is smaller than the sum of its proper divisors (133730992).

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

113649008 is a wasteful number, since it uses less digits than its factorization.

113649008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 113649008 is about 10660.6288745083. The cubic root of 113649008 is about 484.3826175590.

The spelling of 113649008 in words is "one hundred thirteen million, six hundred forty-nine thousand, eight".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 121 176 188 242 376 484 517 752 968 1034 1249 1936 2068 2498 4136 4996 5687 8272 9992 11374 13739 19984 22748 27478 45496 54956 58703 90992 109912 117406 151129 219824 234812 302258 469624 604516 645733 939248 1209032 1291466 2418064 2582932 5165864 7103063 10331728 14206126 28412252 56824504 113649008