Search a number
-
+
5087232 = 2133323
BaseRepresentation
bin10011011010000000000000
3100120110101000
4103122000000
52300242412
6301012000
761145403
oct23320000
910513330
105087232
112965127
121854000
1310916c7
14965d3a
156a74dc
hex4da000

5087232 has 112 divisors (see below), whose sum is σ = 15727680. Its totient is φ = 1622016.

The previous prime is 5087227. The next prime is 5087237. The reversal of 5087232 is 2327805.

It is an interprime number because it is at equal distance from previous prime (5087227) and next prime (5087237).

It is a super-3 number, since 3×50872323 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5087196 and 5087205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5087237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221173 + ... + 221195.

Almost surely, 25087232 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 5087232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863840).

5087232 is an abundant number, since it is smaller than the sum of its proper divisors (10640448).

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

5087232 is an equidigital number, since it uses as much as digits as its factorization.

5087232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5087232 is about 2255.4893038984. The cubic root of 5087232 is about 171.9862978088.

The spelling of 5087232 in words is "five million, eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1024 1104 1152 1242 1472 1536 1656 1728 2048 2208 2304 2484 2944 3072 3312 3456 4096 4416 4608 4968 5888 6144 6624 6912 8192 8832 9216 9936 11776 12288 13248 13824 17664 18432 19872 23552 24576 26496 27648 35328 36864 39744 47104 52992 55296 70656 73728 79488 94208 105984 110592 141312 158976 188416 211968 221184 282624 317952 423936 565248 635904 847872 1271808 1695744 2543616 5087232