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38665728 = 29332797
BaseRepresentation
bin1001001101111…
…1111000000000
32200202102102000
42103133320000
534344300403
63500424000
7646440033
oct223377000
980672360
1038665728
111a90a152
1210b48000
13801a43a
1451c701a
1535db7a3
hex24dfe00

38665728 has 80 divisors (see below), whose sum is σ = 114494160. Its totient is φ = 12883968.

The previous prime is 38665721. The next prime is 38665793. The reversal of 38665728 is 82756683.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38665721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12426 + ... + 15222.

It is an arithmetic number, because the mean of its divisors is an integer number (1431177).

Almost surely, 238665728 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 38665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57247080).

38665728 is an abundant number, since it is smaller than the sum of its proper divisors (75828432).

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

38665728 is an equidigital number, since it uses as much as digits as its factorization.

38665728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2802 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38665728 is about 6218.1772248787. The cubic root of 38665728 is about 338.1494851313.

It can be divided in two parts, 38665 and 728, that added together give a palindrome (39393).

The spelling of 38665728 in words is "thirty-eight million, six hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 2797 3456 4608 5594 6912 8391 11188 13824 16782 22376 25173 33564 44752 50346 67128 75519 89504 100692 134256 151038 179008 201384 268512 302076 358016 402768 537024 604152 716032 805536 1074048 1208304 1432064 1611072 2148096 2416608 3222144 4296192 4833216 6444288 9666432 12888576 19332864 38665728