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4906368 = 27324259
BaseRepresentation
bin10010101101110110000000
3100020021021100
4102231312000
52224000433
6253054400
756463165
oct22556600
910207240
104906368
112851255
121787400
13102a29c
1491a06c
1566db13
hex4add80

4906368 has 48 divisors (see below), whose sum is σ = 14121900. Its totient is φ = 1635072.

The previous prime is 4906361. The next prime is 4906373. The reversal of 4906368 is 8636094.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4906361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 978 + ... + 3281.

Almost surely, 24906368 is an apocalyptic number.

4906368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4906368 is an abundant number, since it is smaller than the sum of its proper divisors (9215532).

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

4906368 is a wasteful number, since it uses less digits than its factorization.

4906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4906368 is about 2215.0322796745. The cubic root of 4906368 is about 169.9234718986.

Subtracting from 4906368 its product of nonzero digits (31104), we obtain a square (4875264 = 22082).

The spelling of 4906368 in words is "four million, nine hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4259 8518 12777 17036 25554 34072 38331 51108 68144 76662 102216 136288 153324 204432 272576 306648 408864 545152 613296 817728 1226592 1635456 2453184 4906368