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38021616 = 2433283311
BaseRepresentation
bin1001000100001…
…0100111110000
32122112200212000
42101002213300
534213142431
63434534000
7641115123
oct221024760
978480760
1038021616
111a50a226
1210897300
137b531c9
14509a3ba
1535109e6
hex24429f0

38021616 has 80 divisors (see below), whose sum is σ = 109873920. Its totient is φ = 12588480.

The previous prime is 38021611. The next prime is 38021651. The reversal of 38021616 is 61612083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 38021616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38021611) 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, 122101 + ... + 122411.

It is an arithmetic number, because the mean of its divisors is an integer number (1373424).

Almost surely, 238021616 is an apocalyptic number.

38021616 is a gapful number since it is divisible by the number (36) 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 38021616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54936960).

38021616 is an abundant number, since it is smaller than the sum of its proper divisors (71852304).

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

38021616 is a wasteful number, since it uses less digits than its factorization.

38021616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38021616 is about 6166.1670428233. The cubic root of 38021616 is about 336.2612763685.

Adding to 38021616 its reverse (61612083), we get a palindrome (99633699).

The spelling of 38021616 in words is "thirty-eight million, twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 283 311 432 566 622 849 933 1132 1244 1698 1866 2264 2488 2547 2799 3396 3732 4528 4976 5094 5598 6792 7464 7641 8397 10188 11196 13584 14928 15282 16794 20376 22392 30564 33588 40752 44784 61128 67176 88013 122256 134352 176026 264039 352052 528078 704104 792117 1056156 1408208 1584234 2112312 2376351 3168468 4224624 4752702 6336936 9505404 12673872 19010808 38021616