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5217696 = 25351161
BaseRepresentation
bin10011111001110110100000
3100211002100000
4103321312200
52313431241
6303500000
762230641
oct23716640
910732300
105217696
112a44150
1218b7600
131108bc3
1499b6c8
156d0eb6
hex4f9da0

5217696 has 144 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1555200.

The previous prime is 5217689. The next prime is 5217697. The reversal of 5217696 is 6967125.

5217696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 5217696.

It is not an unprimeable number, because it can be changed into a prime (5217697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85506 + ... + 85566.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 25217696 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 5217696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5217696 is an abundant number, since it is smaller than the sum of its proper divisors (11843712).

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

5217696 is a wasteful number, since it uses less digits than its factorization.

5217696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 5217696 is about 2284.2276594070. The cubic root of 5217696 is about 173.4441237792. Note that the first 3 decimals are identical.

The spelling of 5217696 in words is "five million, two hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 61 66 72 81 88 96 99 108 122 132 144 162 176 183 198 216 243 244 264 288 297 324 352 366 396 432 486 488 528 549 594 648 671 732 792 864 891 972 976 1056 1098 1188 1296 1342 1464 1584 1647 1782 1944 1952 2013 2196 2376 2592 2673 2684 2928 3168 3294 3564 3888 4026 4392 4752 4941 5346 5368 5856 6039 6588 7128 7776 8052 8784 9504 9882 10692 10736 12078 13176 14256 14823 16104 17568 18117 19764 21384 21472 24156 26352 28512 29646 32208 36234 39528 42768 48312 52704 54351 59292 64416 72468 79056 85536 96624 108702 118584 144936 158112 163053 193248 217404 237168 289872 326106 434808 474336 579744 652212 869616 1304424 1739232 2608848 5217696