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164426148 = 22324567393
BaseRepresentation
bin10011100110011…
…11000110100100
3102110101201021100
421303033012210
5314043114043
624152120100
74034412345
oct1163170644
9373351240
10164426148
11848a5887
1247096030
13280b02a3
1417ba20cc
15e67dcd3
hex9ccf1a4

164426148 has 18 divisors (see below), whose sum is σ = 415632854. Its totient is φ = 54808704.

The previous prime is 164426137. The next prime is 164426161. The reversal of 164426148 is 841624461.

It is a happy number.

164426148 is a `hidden beast` number, since 1 + 644 + 2 + 6 + 1 + 4 + 8 = 666.

164426148 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 only one way, i.e., 162868644 + 1557504 = 12762^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1644261483 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4567393 = 164426148 / (1 + 6 + 4 + 4 + 2 + 6 + 1 + 4 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2283661 + ... + 2283732.

Almost surely, 2164426148 is an apocalyptic number.

164426148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164426148 is an abundant number, since it is smaller than the sum of its proper divisors (251206706).

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

164426148 is a wasteful number, since it uses less digits than its factorization.

164426148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567403 (or 4567398 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 164426148 is about 12822.8759644629. The cubic root of 164426148 is about 547.8440647129.

The spelling of 164426148 in words is "one hundred sixty-four million, four hundred twenty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4567393 9134786 13702179 18269572 27404358 41106537 54808716 82213074 164426148