Search a number
-
+
5087712 = 253767113
BaseRepresentation
bin10011011010000111100000
3100120111000210
4103122013200
52300301322
6301014120
761146660
oct23320740
910514023
105087712
112965523
121854340
1310919a6
149661a0
156a770c
hex4da1e0

5087712 has 96 divisors (see below), whose sum is σ = 15628032. Its totient is φ = 1419264.

The previous prime is 5087711. The next prime is 5087713. The reversal of 5087712 is 2177805.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5087711) and next prime (5087713).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5087712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5087711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44968 + ... + 45080.

It is an arithmetic number, because the mean of its divisors is an integer number (162792).

Almost surely, 25087712 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 5087712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016).

5087712 is an abundant number, since it is smaller than the sum of its proper divisors (10540320).

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

5087712 is a wasteful number, since it uses less digits than its factorization.

5087712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 5087712 is about 2255.5957084549. The cubic root of 5087712 is about 171.9917068293.

The spelling of 5087712 in words is "five million, eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 113 134 168 201 224 226 268 336 339 402 452 469 536 672 678 791 804 904 938 1072 1356 1407 1582 1608 1808 1876 2144 2373 2712 2814 3164 3216 3616 3752 4746 5424 5628 6328 6432 7504 7571 9492 10848 11256 12656 15008 15142 18984 22512 22713 25312 30284 37968 45024 45426 52997 60568 75936 90852 105994 121136 158991 181704 211988 242272 317982 363408 423976 635964 726816 847952 1271928 1695904 2543856 5087712