Search a number
-
+
933058116 = 223416972
BaseRepresentation
bin110111100111010…
…101011001000100
32102000201021010000
4313213111121010
53402330324431
6232330401300
732056602024
oct6747253104
92360637100
10933058116
11439761411
12220590230
1311b3cc5c3
148bcc3a84
1556dab9e6
hex379d5644

933058116 has 45 divisors (see below), whose sum is σ = 2440636429. Its totient is φ = 310836096.

The previous prime is 933058109. The next prime is 933058121. The reversal of 933058116 is 611850339.

It is a happy number.

The square root of 933058116 is 30546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 898200900 + 34857216 = 29970^2 + 5904^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 548980 + ... + 550676.

Almost surely, 2933058116 is an apocalyptic number.

933058116 is the 30546-th square number.

It is an amenable number.

933058116 is an abundant number, since it is smaller than the sum of its proper divisors (1507578313).

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

933058116 is an equidigital number, since it uses as much as digits as its factorization.

933058116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 933058116 is about 977.1687392564.

Multiplying 933058116 by its sum of digits (36), we get a square (33590092176 = 1832762).

933058116 divided by its sum of digits (36) gives a square (25918281 = 50912).

The spelling of 933058116 in words is "nine hundred thirty-three million, fifty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1697 3394 5091 6788 10182 15273 20364 30546 45819 61092 91638 137457 183276 274914 549828 2879809 5759618 8639427 11519236 17278854 25918281 34557708 51836562 77754843 103673124 155509686 233264529 311019372 466529058 933058116