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39228084 = 22337192731
BaseRepresentation
bin1001010110100…
…1001010110100
32201210222211000
42111221022310
540020244314
63520443300
7654301410
oct225511264
981728730
1039228084
1120163705
1211179530
1381863ac
1452d1d40
15369d209
hex25692b4

39228084 has 96 divisors (see below), whose sum is σ = 122393600. Its totient is φ = 10614240.

The previous prime is 39228073. The next prime is 39228089. The reversal of 39228084 is 48082293.

It is a super-2 number, since 2×392280842 = 3077685148622112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39228089) 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, 12999 + ... + 15729.

Almost surely, 239228084 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 39228084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61196800).

39228084 is an abundant number, since it is smaller than the sum of its proper divisors (83165516).

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

39228084 is a wasteful number, since it uses less digits than its factorization.

39228084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 39228084 is about 6263.2327116274. The cubic root of 39228084 is about 339.7809546425.

The spelling of 39228084 in words is "thirty-nine million, two hundred twenty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 2731 3591 4788 5462 7182 8193 10924 14364 16386 19117 24579 32772 38234 49158 51889 57351 73737 76468 98316 103778 114702 147474 155667 172053 207556 229404 294948 311334 344106 363223 467001 516159 622668 688212 726446 934002 1032318 1089669 1401003 1452892 1868004 2064636 2179338 2802006 3269007 4358676 5604012 6538014 9807021 13076028 19614042 39228084