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5717936 = 247192687
BaseRepresentation
bin10101110011111110110000
3101202111112102
4111303332300
52430433221
6322315532
766413240
oct25637660
911674472
105717936
113255a74
121ab8ba8
1312527c3
14a8bb20
1577e30b
hex573fb0

5717936 has 40 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 2320704.

The previous prime is 5717927. The next prime is 5717939. The reversal of 5717936 is 6397175.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 5717936.

It is not an unprimeable number, because it can be changed into a prime (5717939) 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, 785 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 25717936 is an apocalyptic number.

5717936 is a gapful number since it is divisible by the number (56) 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 5717936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

5717936 is an abundant number, since it is smaller than the sum of its proper divisors (7614544).

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

5717936 is a wasteful number, since it uses less digits than its factorization.

5717936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2715 counting only the distinct ones).

The product of its digits is 39690, while the sum is 38.

The square root of 5717936 is about 2391.2206088105. The cubic root of 5717936 is about 178.8187672880.

The spelling of 5717936 in words is "five million, seven hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 2687 5374 10748 18809 21496 37618 42992 51053 75236 102106 150472 204212 300944 357371 408424 714742 816848 1429484 2858968 5717936