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38366064 = 24321153457
BaseRepresentation
bin1001001001011…
…0101101110000
32200012012100100
42102112231300
534310203224
63450152400
7644051262
oct222265560
980165310
1038366064
111a724aa0
1210a22700
137c43c19
145149b32
15357cac9
hex2496b70

38366064 has 120 divisors (see below), whose sum is σ = 119603952. Its totient is φ = 11381760.

The previous prime is 38366063. The next prime is 38366071. The reversal of 38366064 is 46066383.

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 (38366063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83724 + ... + 84180.

Almost surely, 238366064 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 38366064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59801976).

38366064 is an abundant number, since it is smaller than the sum of its proper divisors (81237888).

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

38366064 is a wasteful number, since it uses less digits than its factorization.

38366064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 38366064 is about 6194.0345494677. The cubic root of 38366064 is about 337.2736523469.

The spelling of 38366064 in words is "thirty-eight million, three hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 264 318 396 424 457 477 528 583 636 792 848 914 954 1166 1272 1371 1584 1749 1828 1908 2332 2544 2742 3498 3656 3816 4113 4664 5027 5247 5484 6996 7312 7632 8226 9328 10054 10494 10968 13992 15081 16452 20108 20988 21936 24221 27984 30162 32904 40216 41976 45243 48442 60324 65808 72663 80432 83952 90486 96884 120648 145326 180972 193768 217989 241296 266431 290652 361944 387536 435978 532862 581304 723888 799293 871956 1065724 1162608 1598586 1743912 2131448 2397879 3197172 3487824 4262896 4795758 6394344 9591516 12788688 19183032 38366064