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164880048 = 24313725073
BaseRepresentation
bin10011101001111…
…01111010110000
3102111020202220110
421310331322300
5314202130143
624205541320
74041312564
oct1164757260
9374222813
10164880048
1185085903
1247274840
132820ba78
1417c7d6a4
15e71d533
hex9d3deb0

164880048 has 40 divisors (see below), whose sum is σ = 429066288. Its totient is φ = 54556672.

The previous prime is 164880013. The next prime is 164880073. The reversal of 164880048 is 840088461.

164880048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 164879988 and 164880015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5961 + ... + 19112.

Almost surely, 2164880048 is an apocalyptic number.

It is an amenable number.

164880048 is an abundant number, since it is smaller than the sum of its proper divisors (264186240).

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

164880048 is a wasteful number, since it uses less digits than its factorization.

164880048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25221 (or 25215 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 164880048 is about 12840.5626044967. The cubic root of 164880048 is about 548.3477112008.

The spelling of 164880048 in words is "one hundred sixty-four million, eight hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 25073 50146 75219 100292 150438 200584 300876 401168 601752 1203504 3435001 6870002 10305003 13740004 20610006 27480008 41220012 54960016 82440024 164880048