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38214325 = 5253151191
BaseRepresentation
bin1001000111000…
…1101010110101
32122220111012101
42101301222311
534240324300
63443022101
7642550012
oct221615265
978814171
1038214325
111a630a96
121096a931
137bbcb36
14510a709
15354cb6a
hex2471ab5

38214325 has 24 divisors (see below), whose sum is σ = 48854016. Its totient is φ = 29640000.

The previous prime is 38214313. The next prime is 38214329. The reversal of 38214325 is 52341283.

38214325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38214325 - 215 = 38181557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38214293 and 38214302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38214329) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 199980 + ... + 200170.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 238214325 is an apocalyptic number.

It is an amenable number.

38214325 is a deficient number, since it is larger than the sum of its proper divisors (10639691).

38214325 is a wasteful number, since it uses less digits than its factorization.

38214325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 38214325 is about 6181.7736128072. The cubic root of 38214325 is about 336.8284221994.

The spelling of 38214325 in words is "thirty-eight million, two hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 5 25 53 151 191 265 755 955 1325 3775 4775 8003 10123 28841 40015 50615 144205 200075 253075 721025 1528573 7642865 38214325