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38424216 = 23317412297
BaseRepresentation
bin1001001010010…
…0111010011000
32200022011010010
42102210322120
534314033331
63451321520
7644412645
oct222447230
980264103
1038424216
111a764756
1210a502a0
137c6452c
145162dcc
15358ee46
hex24a4e98

38424216 has 64 divisors (see below), whose sum is σ = 104237280. Its totient is φ = 11755520.

The previous prime is 38424209. The next prime is 38424247. The reversal of 38424216 is 61242483.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15580 + ... + 17876.

Almost surely, 238424216 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 38424216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52118640).

38424216 is an abundant number, since it is smaller than the sum of its proper divisors (65813064).

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

38424216 is a wasteful number, since it uses less digits than its factorization.

38424216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2360 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 38424216 is about 6198.7269660794. The cubic root of 38424216 is about 337.4439698482.

Adding to 38424216 its reverse (61242483), we get a palindrome (99666699).

The spelling of 38424216 in words is "thirty-eight million, four hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2297 2788 4182 4594 5576 6891 8364 9188 13782 16728 18376 27564 39049 55128 78098 94177 117147 156196 188354 234294 282531 312392 376708 468588 565062 753416 937176 1130124 1601009 2260248 3202018 4803027 6404036 9606054 12808072 19212108 38424216