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164055528 = 2332741373
BaseRepresentation
bin10011100011101…
…00100111101000
3102102200212212200
421301310213220
5313444234103
624140140200
74031310000
oct1161644750
9372625780
10164055528
118467238a
1246b37660
1327cb06a0
1417b07000
15e6090a3
hex9c749e8

164055528 has 240 divisors, whose sum is σ = 565858020. Its totient is φ = 42674688.

The previous prime is 164055517. The next prime is 164055589. The reversal of 164055528 is 825550461.

164055528 is a `hidden beast` number, since 1 + 640 + 5 + 5 + 5 + 2 + 8 = 666.

164055528 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 159820164 + 4235364 = 12642^2 + 2058^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164055492 and 164055501.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2247300 + ... + 2247372.

Almost surely, 2164055528 is an apocalyptic number.

164055528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164055528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282929010).

164055528 is an abundant number, since it is smaller than the sum of its proper divisors (401802492).

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

164055528 is a wasteful number, since it uses less digits than its factorization.

164055528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 164055528 is about 12808.4162955457. The cubic root of 164055528 is about 547.4321377076.

The spelling of 164055528 in words is "one hundred sixty-four million, fifty-five thousand, five hundred twenty-eight".