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5332656 = 243759269
BaseRepresentation
bin10100010101111010110000
3101000221000210
4110111322300
52331121111
6310144120
763220050
oct24257260
911027023
105332656
11301255a
121952040
131149324
149cb560
157050a6
hex515eb0

5332656 has 80 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 1492224.

The previous prime is 5332643. The next prime is 5332661. The reversal of 5332656 is 6562335.

It is a d-powerful number, because it can be written as 52 + 312 + 314 + 22 + 64 + 56 + 64 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19690 + ... + 19958.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 25332656 is an apocalyptic number.

5332656 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 5332656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

5332656 is an abundant number, since it is smaller than the sum of its proper divisors (10737744).

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

5332656 is a wasteful number, since it uses less digits than its factorization.

5332656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 5332656 is about 2309.2544251338. The cubic root of 5332656 is about 174.7086963195.

The spelling of 5332656 in words is "five million, three hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 269 336 354 413 472 538 708 807 826 944 1076 1239 1416 1614 1652 1883 2152 2478 2832 3228 3304 3766 4304 4956 5649 6456 6608 7532 9912 11298 12912 15064 15871 19824 22596 30128 31742 45192 47613 63484 90384 95226 111097 126968 190452 222194 253936 333291 380904 444388 666582 761808 888776 1333164 1777552 2666328 5332656