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38025216 = 211322063
BaseRepresentation
bin1001000100001…
…1100000000000
32122112212210100
42101003200000
534213301331
63435002400
7641131455
oct221034000
978485710
1038025216
111a5119a9
1210899400
137b54a38
14509b82c
153511ae6
hex2443800

38025216 has 72 divisors (see below), whose sum is σ = 109877040. Its totient is φ = 12668928.

The previous prime is 38025203. The next prime is 38025223. The reversal of 38025216 is 61252083.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38025216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17401 + ... + 19463.

It is an arithmetic number, because the mean of its divisors is an integer number (1526070).

Almost surely, 238025216 is an apocalyptic number.

38025216 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 38025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54938520).

38025216 is an abundant number, since it is smaller than the sum of its proper divisors (71851824).

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

38025216 is a wasteful number, since it uses less digits than its factorization.

38025216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38025216 is about 6166.4589514567. The cubic root of 38025216 is about 336.2718887738.

Adding to 38025216 its reverse (61252083), we get a palindrome (99277299).

The spelling of 38025216 in words is "thirty-eight million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2063 2304 3072 4126 4608 6144 6189 8252 9216 12378 16504 18432 18567 24756 33008 37134 49512 66016 74268 99024 132032 148536 198048 264064 297072 396096 528128 594144 792192 1056256 1188288 1584384 2112512 2376576 3168768 4225024 4753152 6337536 9506304 12675072 19012608 38025216