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38421216 = 253961
BaseRepresentation
bin1001001010010…
…0001011100000
32200022000000000
42102210023200
534313434331
63451300000
7644401131
oct222441340
980260000
1038421216
111a762479
1210a4a600
137c63062
145161c88
15358e0e6
hex24a42e0

38421216 has 120 divisors (see below), whose sum is σ = 115320744. Its totient is φ = 12597120.

The previous prime is 38421209. The next prime is 38421269. The reversal of 38421216 is 61212483.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 38421216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629826 + ... + 629886.

Almost surely, 238421216 is an apocalyptic number.

38421216 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 38421216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57660372).

38421216 is an abundant number, since it is smaller than the sum of its proper divisors (76899528).

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

38421216 is an frugal number, since it uses more digits than its factorization.

38421216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38421216 is about 6198.4849761857. The cubic root of 38421216 is about 337.4351875544.

Adding to 38421216 its reverse (61212483), we get a palindrome (99633699).

The spelling of 38421216 in words is "thirty-eight million, four hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 243 244 288 324 366 432 486 488 549 648 729 732 864 972 976 1098 1296 1458 1464 1647 1944 1952 2187 2196 2592 2916 2928 3294 3888 4374 4392 4941 5832 5856 6561 6588 7776 8748 8784 9882 11664 13122 13176 14823 17496 17568 19683 19764 23328 26244 26352 29646 34992 39366 39528 44469 52488 52704 59292 69984 78732 79056 88938 104976 118584 133407 157464 158112 177876 209952 237168 266814 314928 355752 400221 474336 533628 629856 711504 800442 1067256 1200663 1423008 1600884 2134512 2401326 3201768 4269024 4802652 6403536 9605304 12807072 19210608 38421216