[go: up one dir, main page]

Search a number
-
+
5213088 = 253223787
BaseRepresentation
bin10011111000101110100000
3100210212000100
4103320232200
52313304323
6303422400
762211336
oct23705640
910725010
105213088
112a40741
1218b4a00
131106a8a
14999b56
156ce943
hex4f8ba0

5213088 has 72 divisors (see below), whose sum is σ = 15488928. Its totient is φ = 1660032.

The previous prime is 5213083. The next prime is 5213093. The reversal of 5213088 is 8803125.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5213083) and next prime (5213093).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5213081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6231 + ... + 7017.

It is an arithmetic number, because the mean of its divisors is an integer number (215124).

Almost surely, 25213088 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 5213088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744464).

5213088 is an abundant number, since it is smaller than the sum of its proper divisors (10275840).

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

5213088 is a wasteful number, since it uses less digits than its factorization.

5213088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5213088 is about 2283.2187805815. The cubic root of 5213088 is about 173.3930497727.

The spelling of 5213088 in words is "five million, two hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 787 828 1104 1574 1656 2208 2361 3148 3312 4722 6296 6624 7083 9444 12592 14166 18101 18888 25184 28332 36202 37776 54303 56664 72404 75552 108606 113328 144808 162909 217212 226656 289616 325818 434424 579232 651636 868848 1303272 1737696 2606544 5213088