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4906300 = 2252743163
BaseRepresentation
bin10010101101110100111100
3100020021011211
4102231310330
52224000200
6253054204
756463040
oct22556474
910207154
104906300
1128511a3
121787364
13102a249
1491a020
1566daba
hex4add3c

4906300 has 72 divisors (see below), whose sum is σ = 12526976. Its totient is φ = 1632960.

The previous prime is 4906273. The next prime is 4906301. The reversal of 4906300 is 36094.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4906301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30019 + ... + 30181.

Almost surely, 24906300 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 4906300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263488).

4906300 is an abundant number, since it is smaller than the sum of its proper divisors (7620676).

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

4906300 is a wasteful number, since it uses less digits than its factorization.

4906300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 4906300 is about 2215.0169299579. The cubic root of 4906300 is about 169.9226868746.

Subtracting from 4906300 its sum of digits (22), we obtain a triangular number (4906278 = T3132).

It can be divided in two parts, 4 and 906300, that added together give a square (906304 = 9522).

The spelling of 4906300 in words is "four million, nine hundred six thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 163 172 175 215 301 326 350 430 602 652 700 815 860 1075 1141 1204 1505 1630 2150 2282 3010 3260 4075 4300 4564 5705 6020 7009 7525 8150 11410 14018 15050 16300 22820 28036 28525 30100 35045 49063 57050 70090 98126 114100 140180 175225 196252 245315 350450 490630 700900 981260 1226575 2453150 4906300