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38840064 = 283103491
BaseRepresentation
bin1001010000101…
…0011100000000
32201002021112220
42110022130000
534420340224
63504251040
7651064224
oct224123400
981067486
1038840064
111aa1912a
1211010a80
13807b8b3
145230784
153623279
hex250a700

38840064 has 72 divisors (see below), whose sum is σ = 104587392. Its totient is φ = 12794880.

The previous prime is 38840063. The next prime is 38840071. The reversal of 38840064 is 46004883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38840063) 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, 78859 + ... + 79349.

Almost surely, 238840064 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 38840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52293696).

38840064 is an abundant number, since it is smaller than the sum of its proper divisors (65747328).

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

38840064 is a wasteful number, since it uses less digits than its factorization.

38840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38840064 is about 6232.1797149954. The cubic root of 38840064 is about 338.6569392567.

The spelling of 38840064 in words is "thirty-eight million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 491 618 768 824 982 1236 1473 1648 1964 2472 2946 3296 3928 4944 5892 6592 7856 9888 11784 13184 15712 19776 23568 26368 31424 39552 47136 50573 62848 79104 94272 101146 125696 151719 188544 202292 303438 377088 404584 606876 809168 1213752 1618336 2427504 3236672 4855008 6473344 9710016 12946688 19420032 38840064