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4218368 = 29711107
BaseRepresentation
bin10000000101111000000000
321221022111212
4100011320000
52034441433
6230225252
750566310
oct20057000
97838455
104218368
112421360
1214b5228
13b4909b
147bb440
15584d48
hex405e00

4218368 has 80 divisors (see below), whose sum is σ = 10606464. Its totient is φ = 1628160.

The previous prime is 4218359. The next prime is 4218371. The reversal of 4218368 is 8638124.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 4 + 222 + 1 + 82 + 39 + 63 + 84 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39371 + ... + 39477.

Almost surely, 24218368 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 4218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232).

4218368 is an abundant number, since it is smaller than the sum of its proper divisors (6388096).

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

4218368 is a wasteful number, since it uses less digits than its factorization.

4218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 4218368 is about 2053.8665974206. The cubic root of 4218368 is about 161.5777246034.

The spelling of 4218368 in words is "four million, two hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 107 112 128 154 176 214 224 256 308 352 428 448 512 616 704 749 856 896 1177 1232 1408 1498 1712 1792 2354 2464 2816 2996 3424 3584 4708 4928 5632 5992 6848 8239 9416 9856 11984 13696 16478 18832 19712 23968 27392 32956 37664 39424 47936 54784 65912 75328 95872 131824 150656 191744 263648 301312 383488 527296 602624 1054592 2109184 4218368