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38823040 = 27560661
BaseRepresentation
bin1001010000011…
…0010010000000
32201001102012101
42110012102000
534414314130
63504040144
7650663464
oct224062200
981042171
1038823040
111aa07363
1211003054
138073c19
1452284a4
15361d1ca
hex2506480

38823040 has 32 divisors (see below), whose sum is σ = 92812860. Its totient is φ = 15528960.

The previous prime is 38823007. The next prime is 38823041. The reversal of 38823040 is 4032883.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 2534464 = 6024^2 + 1592^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (38823041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29691 + ... + 30970.

Almost surely, 238823040 is an apocalyptic number.

It is an amenable number.

38823040 is an abundant number, since it is smaller than the sum of its proper divisors (53989820).

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

38823040 is an equidigital number, since it uses as much as digits as its factorization.

38823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60680 (or 60668 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 38823040 is about 6230.8137510280. The cubic root of 38823040 is about 338.6074530847.

The spelling of 38823040 in words is "thirty-eight million, eight hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 60661 121322 242644 303305 485288 606610 970576 1213220 1941152 2426440 3882304 4852880 7764608 9705760 19411520 38823040