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38253520 = 245478169
BaseRepresentation
bin1001000111101…
…1001111010000
32122222110222001
42101323033100
534243103040
63443523344
7643102204
oct221731720
978873861
1038253520
111a658488
1210989554
137c04926
14511ab04
15355959a
hex247b3d0

38253520 has 20 divisors (see below), whose sum is σ = 88939620. Its totient is φ = 15301376.

The previous prime is 38253503. The next prime is 38253557. The reversal of 38253520 is 2535283.

38253520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13133376 + 25120144 = 3624^2 + 5012^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239005 + ... + 239164.

It is an arithmetic number, because the mean of its divisors is an integer number (4446981).

Almost surely, 238253520 is an apocalyptic number.

It is an amenable number.

38253520 is an abundant number, since it is smaller than the sum of its proper divisors (50686100).

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

38253520 is a wasteful number, since it uses less digits than its factorization.

38253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478182 (or 478176 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 38253520 is about 6184.9430070131. The cubic root of 38253520 is about 336.9435402778.

The spelling of 38253520 in words is "thirty-eight million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 478169 956338 1912676 2390845 3825352 4781690 7650704 9563380 19126760 38253520