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5091328 = 21211113
BaseRepresentation
bin10011011011000000000000
3100120122222201
4103123000000
52300410303
6301042544
761163344
oct23330000
910518881
105091328
112968210
121856454
131093528
14967624
156a881d
hex4db000

5091328 has 52 divisors (see below), whose sum is σ = 11205288. Its totient is φ = 2293760.

The previous prime is 5091323. The next prime is 5091341. The reversal of 5091328 is 8231905.

It is a junction number, because it is equal to n+sod(n) for n = 5091296 and 5091305.

It is not an unprimeable number, because it can be changed into a prime (5091323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45000 + ... + 45112.

Almost surely, 25091328 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 5091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602644).

5091328 is an abundant number, since it is smaller than the sum of its proper divisors (6113960).

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

5091328 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 5091328 = (1093528)13.

5091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 5091328 is about 2256.3971281669. The cubic root of 5091328 is about 172.0324438528.

It can be divided in two parts, 50 and 91328, that added together give a triangular number (91378 = T427).

The spelling of 5091328 in words is "five million, ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 256 352 452 512 704 904 1024 1243 1408 1808 2048 2486 2816 3616 4096 4972 5632 7232 9944 11264 14464 19888 22528 28928 39776 45056 57856 79552 115712 159104 231424 318208 462848 636416 1272832 2545664 5091328