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4806368 = 25743499
BaseRepresentation
bin10010010101011011100000
3100001012002122
4102111123200
52212300433
6251003412
755565510
oct22253340
910035078
104806368
112793106
121739568
13cc3908
148d1840
1564e198
hex4956e0

4806368 has 48 divisors (see below), whose sum is σ = 11088000. Its totient is φ = 2007936.

The previous prime is 4806367. The next prime is 4806377. The reversal of 4806368 is 8636084.

It is a super-3 number, since 3×48063683 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806367) 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, 9383 + ... + 9881.

It is an arithmetic number, because the mean of its divisors is an integer number (231000).

Almost surely, 24806368 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 4806368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544000).

4806368 is an abundant number, since it is smaller than the sum of its proper divisors (6281632).

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

4806368 is a wasteful number, since it uses less digits than its factorization.

4806368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 4806368 is about 2192.3430388514. The cubic root of 4806368 is about 168.7610970297.

The spelling of 4806368 in words is "four million, eight hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 499 602 688 998 1204 1376 1996 2408 3493 3992 4816 6986 7984 9632 13972 15968 21457 27944 42914 55888 85828 111776 150199 171656 300398 343312 600796 686624 1201592 2403184 4806368