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38199816 = 233317101103
BaseRepresentation
bin1001000110111…
…0001000001000
32122212202022000
42101232020020
534234343231
63442431000
7642456504
oct221561010
978782260
1038199816
111a6210a6
1210962460
137bb6355
145105304
1535486e6
hex246e208

38199816 has 128 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 11750400.

The previous prime is 38199773. The next prime is 38199817. The reversal of 38199816 is 61899183.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38199817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370821 + ... + 370923.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 238199816 is an apocalyptic number.

38199816 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 38199816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

38199816 is an abundant number, since it is smaller than the sum of its proper divisors (76366584).

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

38199816 is a wasteful number, since it uses less digits than its factorization.

38199816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 38199816 is about 6180.5999708766. The cubic root of 38199816 is about 336.7857884296.

The spelling of 38199816 in words is "thirty-eight million, one hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 101 102 103 108 136 153 202 204 206 216 303 306 309 404 408 412 459 606 612 618 808 824 909 918 927 1212 1224 1236 1717 1751 1818 1836 1854 2424 2472 2727 2781 3434 3502 3636 3672 3708 5151 5253 5454 5562 6868 7004 7272 7416 10302 10403 10506 10908 11124 13736 14008 15453 15759 20604 20806 21012 21816 22248 30906 31209 31518 41208 41612 42024 46359 47277 61812 62418 63036 83224 92718 93627 94554 123624 124836 126072 176851 185436 187254 189108 249672 280881 353702 370872 374508 378216 530553 561762 707404 749016 1061106 1123524 1414808 1591659 2122212 2247048 3183318 4244424 4774977 6366636 9549954 12733272 19099908 38199816