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4022424 = 2332723347
BaseRepresentation
bin1111010110000010011000
321120100201200
433112002120
52012204144
6222114200
746122120
oct17260230
97510650
104022424
1122a811a
12141b960
13aaab43
14769c80
15546c69
hex3d6098

4022424 has 96 divisors (see below), whose sum is σ = 13029120. Its totient is φ = 1096128.

The previous prime is 4022419. The next prime is 4022437. The reversal of 4022424 is 4242204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4022397 and 4022406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11419 + ... + 11765.

It is an arithmetic number, because the mean of its divisors is an integer number (135720).

Almost surely, 24022424 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 4022424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514560).

4022424 is an abundant number, since it is smaller than the sum of its proper divisors (9006696).

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

4022424 is a wasteful number, since it uses less digits than its factorization.

4022424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4022424 is about 2005.5981651368. The cubic root of 4022424 is about 159.0361849530.

Adding to 4022424 its reverse (4242204), we get a palindrome (8264628).

The spelling of 4022424 in words is "four million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 347 414 483 504 552 644 694 828 966 1041 1288 1388 1449 1656 1932 2082 2429 2776 2898 3123 3864 4164 4858 5796 6246 7287 7981 8328 9716 11592 12492 14574 15962 19432 21861 23943 24984 29148 31924 43722 47886 55867 58296 63848 71829 87444 95772 111734 143658 167601 174888 191544 223468 287316 335202 446936 502803 574632 670404 1005606 1340808 2011212 4022424