Search a number
-
+
5093648 = 24727389
BaseRepresentation
bin10011011011100100010000
3100120210011122
4103123210100
52300444043
6301101412
761203200
oct23334420
910523148
105093648
112969a2a
121857868
1310945c1
14968400
156a9368
hex4db910

5093648 has 60 divisors (see below), whose sum is σ = 11768220. Its totient is φ = 2128896.

The previous prime is 5093623. The next prime is 5093657. The reversal of 5093648 is 8463905.

It can be written as a sum of positive squares in 2 ways, for example, as 1882384 + 3211264 = 1372^2 + 1792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57188 + ... + 57276.

It is an arithmetic number, because the mean of its divisors is an integer number (196137).

Almost surely, 25093648 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 5093648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884110).

5093648 is an abundant number, since it is smaller than the sum of its proper divisors (6674572).

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

5093648 is a wasteful number, since it uses less digits than its factorization.

5093648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 5093648 is about 2256.9111635153. The cubic root of 5093648 is about 172.0585702820.

The spelling of 5093648 in words is "five million, ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 89 98 112 146 178 196 292 356 392 511 584 623 712 784 1022 1168 1246 1424 2044 2492 3577 4088 4361 4984 6497 7154 8176 8722 9968 12994 14308 17444 25988 28616 34888 45479 51976 57232 69776 90958 103952 181916 318353 363832 636706 727664 1273412 2546824 5093648