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4227620 = 2252937197
BaseRepresentation
bin10000001000001000100100
321221210012112
4100020020210
52040240440
6230340152
750635265
oct20101044
97853175
104227620
112428301
1214ba658
13b50367
147c096c
15587965
hex408224

4227620 has 48 divisors (see below), whose sum is σ = 9480240. Its totient is φ = 1580544.

The previous prime is 4227599. The next prime is 4227637. The reversal of 4227620 is 267224.

It can be written as a sum of positive squares in 8 ways, for example, as 937024 + 3290596 = 968^2 + 1814^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21362 + ... + 21558.

It is an arithmetic number, because the mean of its divisors is an integer number (197505).

Almost surely, 24227620 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 4227620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740120).

4227620 is an abundant number, since it is smaller than the sum of its proper divisors (5252620).

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

4227620 is a wasteful number, since it uses less digits than its factorization.

4227620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4227620 is about 2056.1177009111. The cubic root of 4227620 is about 161.6957659503.

The spelling of 4227620 in words is "four million, two hundred twenty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 197 290 370 394 580 740 788 985 1073 1970 2146 3940 4292 5365 5713 7289 10730 11426 14578 21460 22852 28565 29156 36445 57130 72890 114260 145780 211381 422762 845524 1056905 2113810 4227620