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3922248 = 2331183179
BaseRepresentation
bin1110111101100101001000
321101021022110
432331211020
52001002443
6220022320
745224061
oct16754510
97337273
103922248
112239930
1213919a0
13a74375
14741568
15527233
hex3bd948

3922248 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1167680.

The previous prime is 3922231. The next prime is 3922249. The reversal of 3922248 is 8422293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21823 + ... + 22001.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 23922248 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 3922248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3922248 is an abundant number, since it is smaller than the sum of its proper divisors (6964152).

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

3922248 is a wasteful number, since it uses less digits than its factorization.

3922248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3922248 is about 1980.4666116852. The cubic root of 3922248 is about 157.7048380409.

The spelling of 3922248 in words is "three million, nine hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 179 249 264 332 358 498 537 664 716 913 996 1074 1432 1826 1969 1992 2148 2739 3652 3938 4296 5478 5907 7304 7876 10956 11814 14857 15752 21912 23628 29714 44571 47256 59428 89142 118856 163427 178284 326854 356568 490281 653708 980562 1307416 1961124 3922248