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38126214 = 235721601
BaseRepresentation
bin1001000101110…
…0001010000110
32122202000100000
42101130022012
534230014324
63441102130
7642032100
oct221341206
978660300
1038126214
111a580875
1210927946
137b8b9b9
1450c6570
1535319c9
hex245c286

38126214 has 72 divisors (see below), whose sum is σ = 99714888. Its totient is φ = 10886400.

The previous prime is 38126201. The next prime is 38126227. The reversal of 38126214 is 41262183.

38126214 is a `hidden beast` number, since 38 + 1 + 2 + 621 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (38126201) and next prime (38126227).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23014 + ... + 24614.

It is an arithmetic number, because the mean of its divisors is an integer number (1384929).

Almost surely, 238126214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38126214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49857444).

38126214 is an abundant number, since it is smaller than the sum of its proper divisors (61588674).

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

38126214 is a wasteful number, since it uses less digits than its factorization.

38126214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1613 counting only the distinct ones).

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

The square root of 38126214 is about 6174.6428236781. The cubic root of 38126214 is about 336.5693472044.

Adding to 38126214 its reverse (41262183), we get a palindrome (79388397).

The spelling of 38126214 in words is "thirty-eight million, one hundred twenty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1601 1701 2646 3202 3402 3969 4803 7938 9606 11207 11907 14409 22414 23814 28818 33621 43227 67242 78449 86454 100863 129681 156898 201726 235347 259362 302589 389043 470694 605178 706041 778086 907767 1412082 1815534 2118123 2723301 4236246 5446602 6354369 12708738 19063107 38126214