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38022534 = 23411191123
BaseRepresentation
bin1001000100001…
…0110110000110
32122112202010000
42101002312012
534213210114
63434542130
7641120604
oct221026606
978482100
1038022534
111a50a990
1210897946
137b53754
14509a874
153510e09
hex2442d86

38022534 has 80 divisors (see below), whose sum is σ = 97922880. Its totient is φ = 10905840.

The previous prime is 38022533. The next prime is 38022547. The reversal of 38022534 is 43522083.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38022498 and 38022507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38022533) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33297 + ... + 34419.

It is an arithmetic number, because the mean of its divisors is an integer number (1224036).

Almost surely, 238022534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38022534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48961440).

38022534 is an abundant number, since it is smaller than the sum of its proper divisors (59900346).

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

38022534 is a wasteful number, since it uses less digits than its factorization.

38022534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38022534 is about 6166.2414808374. The cubic root of 38022534 is about 336.2639825955.

It can be divided in two parts, 3802 and 2534, that added together give a palindrome (6336).

The spelling of 38022534 in words is "thirty-eight million, twenty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1123 1254 1539 1782 1881 2246 3078 3369 3762 5643 6738 10107 11286 12353 16929 20214 21337 24706 30321 33858 37059 42674 60642 64011 74118 90963 111177 128022 181926 192033 222354 234707 333531 384066 469414 576099 667062 704121 1000593 1152198 1408242 1728297 2001186 2112363 3456594 4224726 6337089 12674178 19011267 38022534