Search a number
-
+
5250432 = 273112113
BaseRepresentation
bin10100000001110110000000
3100212202020110
4110001312000
52321003212
6304311320
762425245
oct24016600
910782213
105250432
112a66800
121912540
13111aa85
149a95cc
156daa3c
hex501d80

5250432 has 96 divisors (see below), whose sum is σ = 15465240. Its totient is φ = 1576960.

The previous prime is 5250409. The next prime is 5250437. The reversal of 5250432 is 2340525.

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

It is a junction number, because it is equal to n+sod(n) for n = 5250399 and 5250408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5250437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46408 + ... + 46520.

Almost surely, 25250432 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 5250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732620).

5250432 is an abundant number, since it is smaller than the sum of its proper divisors (10214808).

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

5250432 is a wasteful number, since it uses less digits than its factorization.

5250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5250432 is about 2291.3821156673. The cubic root of 5250432 is about 173.8060992358.

Adding to 5250432 its reverse (2340525), we get a palindrome (7590957).

The spelling of 5250432 in words is "five million, two hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 121 128 132 176 192 226 242 264 339 352 363 384 452 484 528 678 704 726 904 968 1056 1243 1356 1408 1452 1808 1936 2112 2486 2712 2904 3616 3729 3872 4224 4972 5424 5808 7232 7458 7744 9944 10848 11616 13673 14464 14916 15488 19888 21696 23232 27346 29832 39776 41019 43392 46464 54692 59664 79552 82038 109384 119328 159104 164076 218768 238656 328152 437536 477312 656304 875072 1312608 1750144 2625216 5250432