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5185232 = 241397257
BaseRepresentation
bin10011110001111011010000
3100202102210122
4103301323100
52311411412
6303045412
762034203
oct23617320
910672718
105185232
112a21818
1218a0868
1310c71b0
1498d93a
156c6572
hex4f1ed0

5185232 has 40 divisors (see below), whose sum is σ = 10973256. Its totient is φ = 2359296.

The previous prime is 5185223. The next prime is 5185253. The reversal of 5185232 is 2325815.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 3984016 = 1096^2 + 1996^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 55 + 1 + 82 + 58 + 28 + 314 + 213 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20048 + ... + 20304.

Almost surely, 25185232 is an apocalyptic number.

5185232 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 5185232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486628).

5185232 is an abundant number, since it is smaller than the sum of its proper divisors (5788024).

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

5185232 is a wasteful number, since it uses less digits than its factorization.

5185232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 5185232 is about 2277.1104496708. The cubic root of 5185232 is about 173.0836576246.

The spelling of 5185232 in words is "five million, one hundred eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 257 388 514 776 1028 1261 1552 2056 2522 3341 4112 5044 6682 10088 13364 20176 24929 26728 49858 53456 99716 199432 324077 398864 648154 1296308 2592616 5185232