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4208944 = 242947193
BaseRepresentation
bin10000000011100100110000
321220211120211
4100003210300
52034141234
6230113504
750526655
oct20034460
97824524
104208944
112415273
1214ab894
13b449cc
147b7c2c
15582164
hex403930

4208944 has 40 divisors (see below), whose sum is σ = 8660160. Its totient is φ = 1978368.

The previous prime is 4208933. The next prime is 4208947. The reversal of 4208944 is 4498024.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4208947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21712 + ... + 21904.

It is an arithmetic number, because the mean of its divisors is an integer number (216504).

Almost surely, 24208944 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 4208944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330080).

4208944 is an abundant number, since it is smaller than the sum of its proper divisors (4451216).

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

4208944 is a wasteful number, since it uses less digits than its factorization.

4208944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4208944 is about 2051.5711052752. The cubic root of 4208944 is about 161.4573112258.

The spelling of 4208944 in words is "four million, two hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 193 232 376 386 464 752 772 1363 1544 2726 3088 5452 5597 9071 10904 11194 18142 21808 22388 36284 44776 72568 89552 145136 263059 526118 1052236 2104472 4208944