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5733936 = 2433131021
BaseRepresentation
bin10101110111111000110000
3101210022111000
4111313320300
52431441221
6322522000
766511005
oct25677060
911708430
105733936
113266a9a
121b06300
131259b80
14a938ac
15783e26
hex577e30

5733936 has 80 divisors (see below), whose sum is σ = 17741920. Its totient is φ = 1762560.

The previous prime is 5733929. The next prime is 5733941. The reversal of 5733936 is 6393375.

5733936 = T123 + T124 + ... + T330.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5733936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5106 + ... + 6126.

It is an arithmetic number, because the mean of its divisors is an integer number (221774).

Almost surely, 25733936 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 5733936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870960).

5733936 is an abundant number, since it is smaller than the sum of its proper divisors (12007984).

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

5733936 is a wasteful number, since it uses less digits than its factorization.

5733936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The square root of 5733936 is about 2394.5638433752. The cubic root of 5733936 is about 178.9854029273.

It can be divided in two parts, 57339 and 36, that added together give a palindrome (57375).

The spelling of 5733936 in words is "five million, seven hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1021 1404 1872 2042 2808 3063 4084 5616 6126 8168 9189 12252 13273 16336 18378 24504 26546 27567 36756 39819 49008 53092 55134 73512 79638 106184 110268 119457 147024 159276 212368 220536 238914 318552 358371 441072 477828 637104 716742 955656 1433484 1911312 2866968 5733936