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38665536 = 2637132213
BaseRepresentation
bin1001001101111…
…1110101000000
32200202102010220
42103133311000
534344244121
63500423040
7646436340
oct223376500
980672126
1038665536
111a909a98
1210b47a80
13801a320
1451c6d20
1535db6c6
hex24dfd40

38665536 has 112 divisors (see below), whose sum is σ = 125967744. Its totient is φ = 10192896.

The previous prime is 38665511. The next prime is 38665541. The reversal of 38665536 is 63556683.

38665536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16366 + ... + 18578.

It is an arithmetic number, because the mean of its divisors is an integer number (1124712).

Almost surely, 238665536 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 38665536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62983872).

38665536 is an abundant number, since it is smaller than the sum of its proper divisors (87302208).

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

38665536 is a wasteful number, since it uses less digits than its factorization.

38665536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2238 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 38665536 is about 6218.1617862516. The cubic root of 38665536 is about 338.1489254211.

The spelling of 38665536 in words is "thirty-eight million, six hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2213 2496 2912 4368 4426 5824 6639 8736 8852 13278 15491 17472 17704 26556 28769 30982 35408 46473 53112 57538 61964 70816 86307 92946 106224 115076 123928 141632 172614 185892 201383 212448 230152 247856 345228 371784 402766 424896 460304 495712 604149 690456 743568 805532 920608 991424 1208298 1380912 1487136 1611064 1841216 2416596 2761824 2974272 3222128 4833192 5523648 6444256 9666384 12888512 19332768 38665536