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38528064 = 263266889
BaseRepresentation
bin1001001011111…
…0010001000000
32200111102120100
42102332101000
534330344224
63453442400
7645324501
oct222762100
980442510
1038528064
111a825783
1210aa0400
137c9c893
14518cba8
1535b0ac9
hex24be440

38528064 has 42 divisors (see below), whose sum is σ = 110435390. Its totient is φ = 12842496.

The previous prime is 38528057. The next prime is 38528089. The reversal of 38528064 is 46082583.

It can be written as a sum of positive squares in only one way, i.e., 31809600 + 6718464 = 5640^2 + 2592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32869 + ... + 34020.

Almost surely, 238528064 is an apocalyptic number.

It is an amenable number.

38528064 is an abundant number, since it is smaller than the sum of its proper divisors (71907326).

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

38528064 is a wasteful number, since it uses less digits than its factorization.

38528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66907 (or 66894 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38528064 is about 6207.0978725971. The cubic root of 38528064 is about 337.7476963567.

The spelling of 38528064 in words is "thirty-eight million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 66889 133778 200667 267556 401334 535112 602001 802668 1070224 1204002 1605336 2140448 2408004 3210672 4280896 4816008 6421344 9632016 12842688 19264032 38528064