[go: up one dir, main page]

Search a number
-
+
5393696 = 257112199
BaseRepresentation
bin10100100100110100100000
3101011000202112
4110210310200
52340044241
6311334452
763563030
oct24446440
911130675
105393696
113054400
121981428
13116b049
14a058c0
157181eb
hex524d20

5393696 has 72 divisors (see below), whose sum is σ = 13406400. Its totient is φ = 2090880.

The previous prime is 5393693. The next prime is 5393711. The reversal of 5393696 is 6963935.

It is a super-5 number, since 5×53936965 (a number of 35 digits) contains 55555 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5393693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27005 + ... + 27203.

It is an arithmetic number, because the mean of its divisors is an integer number (186200).

Almost surely, 25393696 is an apocalyptic number.

5393696 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 5393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703200).

5393696 is an abundant number, since it is smaller than the sum of its proper divisors (8012704).

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

5393696 is a wasteful number, since it uses less digits than its factorization.

5393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its digits is 131220, while the sum is 41.

The square root of 5393696 is about 2322.4332067898. The cubic root of 5393696 is about 175.3727673097.

The spelling of 5393696 in words is "five million, three hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 199 224 242 308 352 398 484 616 796 847 968 1232 1393 1592 1694 1936 2189 2464 2786 3184 3388 3872 4378 5572 6368 6776 8756 11144 13552 15323 17512 22288 24079 27104 30646 35024 44576 48158 61292 70048 96316 122584 168553 192632 245168 337106 385264 490336 674212 770528 1348424 2696848 5393696