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164828141 = 1729367911
BaseRepresentation
bin10011101001100…
…01001111101101
3102111011010200222
421310301033231
5314144000031
624204501125
74041005342
oct1164611755
9374133628
10164828141
118504a905
124724a7a5
13281c125a
1417c687c9
15e70ce7b
hex9d313ed

164828141 has 16 divisors (see below), whose sum is σ = 181232640. Its totient is φ = 149210880.

The previous prime is 164828129. The next prime is 164828171. The reversal of 164828141 is 141828461.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164828141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164828101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180476 + ... + 181386.

It is an arithmetic number, because the mean of its divisors is an integer number (11327040).

Almost surely, 2164828141 is an apocalyptic number.

It is an amenable number.

164828141 is a deficient number, since it is larger than the sum of its proper divisors (16404499).

164828141 is a wasteful number, since it uses less digits than its factorization.

164828141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324.

The product of its digits is 12288, while the sum is 35.

The square root of 164828141 is about 12838.5412333333. The cubic root of 164828141 is about 548.2901621474.

The spelling of 164828141 in words is "one hundred sixty-four million, eight hundred twenty-eight thousand, one hundred forty-one".

Divisors: 1 17 29 367 493 911 6239 10643 15487 26419 180931 334337 449123 5683729 9695773 164828141