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164779425 = 32521136481
BaseRepresentation
bin10011101001001…
…01010110100001
3102111001122212200
421310211112201
5314140420200
624203443413
74040413326
oct1164452641
9374048780
10164779425
1185017248
1247226569
13281a5025
1417c54b4d
15e6ed800
hex9d255a1

164779425 has 36 divisors (see below), whose sum is σ = 297796044. Its totient is φ = 87091200.

The previous prime is 164779411. The next prime is 164779441. The reversal of 164779425 is 524977461.

It can be written as a sum of positive squares in 6 ways, for example, as 5716881 + 159062544 = 2391^2 + 12612^2 .

It is not a de Polignac number, because 164779425 - 24 = 164779409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 22185 + ... + 28665.

Almost surely, 2164779425 is an apocalyptic number.

164779425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164779425 is a deficient number, since it is larger than the sum of its proper divisors (133016619).

164779425 is a wasteful number, since it uses less digits than its factorization.

164779425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6602 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 164779425 is about 12836.6438370783. The cubic root of 164779425 is about 548.2361399493.

The spelling of 164779425 in words is "one hundred sixty-four million, seven hundred seventy-nine thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 113 225 339 565 1017 1695 2825 5085 6481 8475 19443 25425 32405 58329 97215 162025 291645 486075 732353 1458225 2197059 3661765 6591177 10985295 18308825 32955885 54926475 164779425