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38649636 = 2235172339
BaseRepresentation
bin1001001101101…
…1111100100100
32200201121100000
42103123330210
534343242021
63500221300
7646342104
oct223337444
980647300
1038649636
111a8a9053
1210b3a830
13801300c
1451c1204
1535d6b26
hex24dbf24

38649636 has 72 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 12120192.

The previous prime is 38649623. The next prime is 38649641. The reversal of 38649636 is 63694683.

38649636 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 9 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38649591 and 38649600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15355 + ... + 17693.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 238649636 is an apocalyptic number.

38649636 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 38649636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

38649636 is an abundant number, since it is smaller than the sum of its proper divisors (68672124).

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

38649636 is a wasteful number, since it uses less digits than its factorization.

38649636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2361 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 38649636 is about 6216.8831418967. The cubic root of 38649636 is about 338.1025679874.

The spelling of 38649636 in words is "thirty-eight million, six hundred forty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2339 2754 4131 4678 5508 7017 8262 9356 14034 16524 21051 28068 39763 42102 63153 79526 84204 119289 126306 159052 189459 238578 252612 357867 378918 477156 568377 715734 757836 1073601 1136754 1431468 2147202 2273508 3220803 4294404 6441606 9662409 12883212 19324818 38649636