Search a number
-
+
5328006112 = 2511134332689
BaseRepresentation
bin1001111011001001…
…01110101111100000
3111202022120202100201
410331210232233200
541402432143422
62240405354544
7246014206342
oct47544565740
914668522321
105328006112
11229457a940
121048408a54
1366bab3c50
14387885292
15212b48727
hex13d92ebe0

5328006112 has 96 divisors (see below), whose sum is σ = 12356396640. Its totient is φ = 2229534720.

The previous prime is 5328006109. The next prime is 5328006113. The reversal of 5328006112 is 2116008235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5328006113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980064 + ... + 1982752.

It is an arithmetic number, because the mean of its divisors is an integer number (128712465).

Almost surely, 25328006112 is an apocalyptic number.

5328006112 is a gapful number since it is divisible by the number (52) 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 5328006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178198320).

5328006112 is an abundant number, since it is smaller than the sum of its proper divisors (7028390528).

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

5328006112 is a wasteful number, since it uses less digits than its factorization.

5328006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 5328006112 is about 72993.1922305087. The cubic root of 5328006112 is about 1746.5790161197.

The spelling of 5328006112 in words is "five billion, three hundred twenty-eight million, six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 433 572 866 1144 1732 2288 2689 3464 4576 4763 5378 5629 6928 9526 10756 11258 13856 19052 21512 22516 29579 34957 38104 43024 45032 59158 61919 69914 76208 86048 90064 118316 123838 139828 152416 180128 236632 247676 279656 384527 473264 495352 559312 769054 946528 990704 1118624 1164337 1538108 1981408 2328674 3076216 4657348 6152432 9314696 12304864 12807707 15136381 18629392 25615414 30272762 37258784 51230828 60545524 102461656 121091048 166500191 204923312 242182096 333000382 409846624 484364192 666000764 1332001528 2664003056 5328006112