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4022592 = 26374173
BaseRepresentation
bin1111010110000101000000
321120100221220
433112011000
52012210332
6222115040
746122450
oct17260500
97510856
104022592
1122a8262
12141ba80
13aaac42
14769d60
15546d2c
hex3d6140

4022592 has 112 divisors (see below), whose sum is σ = 12630912. Its totient is φ = 1105920.

The previous prime is 4022587. The next prime is 4022593. The reversal of 4022592 is 2952204.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022593) 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, 55068 + ... + 55140.

It is an arithmetic number, because the mean of its divisors is an integer number (112776).

Almost surely, 24022592 is an apocalyptic number.

4022592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315456).

4022592 is an abundant number, since it is smaller than the sum of its proper divisors (8608320).

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

4022592 is a wasteful number, since it uses less digits than its factorization.

4022592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4022592 is about 2005.6400474661. The cubic root of 4022592 is about 159.0383990166.

Adding to 4022592 its reverse (2952204), we get a palindrome (6974796).

The spelling of 4022592 in words is "four million, twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 73 82 84 96 112 123 146 164 168 192 219 224 246 287 292 328 336 438 448 492 511 574 584 656 672 861 876 984 1022 1148 1168 1312 1344 1533 1722 1752 1968 2044 2296 2336 2624 2993 3066 3444 3504 3936 4088 4592 4672 5986 6132 6888 7008 7872 8176 8979 9184 11972 12264 13776 14016 16352 17958 18368 20951 23944 24528 27552 32704 35916 41902 47888 49056 55104 62853 71832 83804 95776 98112 125706 143664 167608 191552 251412 287328 335216 502824 574656 670432 1005648 1340864 2011296 4022592