Search a number
-
+
5935072 = 2511131297
BaseRepresentation
bin10110101000111111100000
3102011112101111
4112220333200
53004410242
6331113104
7101306263
oct26507740
912145344
105935072
113394120
121ba2794
1312ca5a0
14b06cda
157c3817
hex5a8fe0

5935072 has 48 divisors (see below), whose sum is σ = 13738032. Its totient is φ = 2488320.

The previous prime is 5935067. The next prime is 5935079. The reversal of 5935072 is 2705395.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5935079) 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, 3928 + ... + 5224.

It is an arithmetic number, because the mean of its divisors is an integer number (286209).

Almost surely, 25935072 is an apocalyptic number.

5935072 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 5935072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869016).

5935072 is an abundant number, since it is smaller than the sum of its proper divisors (7802960).

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

5935072 is a wasteful number, since it uses less digits than its factorization.

5935072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 5935072 is about 2436.2003201707. The cubic root of 5935072 is about 181.0542250768.

It can be divided in two parts, 593 and 5072, that added together give a palindrome (5665).

The spelling of 5935072 in words is "five million, nine hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 1297 2288 2594 4576 5188 10376 14267 16861 20752 28534 33722 41504 57068 67444 114136 134888 185471 228272 269776 370942 456544 539552 741884 1483768 2967536 5935072