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164256616 = 23232371049
BaseRepresentation
bin10011100101001…
…01101101101000
3102110002002201101
421302211231220
5314022202431
624144331144
74033105156
oct1162455550
9373062641
10164256616
118479a477
1247013ab4
1328051084
1417b5a3d6
15e648961
hex9ca5b68

164256616 has 48 divisors (see below), whose sum is σ = 330970500. Its totient is φ = 76361472.

The previous prime is 164256611. The next prime is 164256637. The reversal of 164256616 is 616652461.

164256616 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 131194116 + 33062500 = 11454^2 + 5750^2 .

It is a super-3 number, since 3×1642566163 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (164256611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156060 + ... + 157108.

Almost surely, 2164256616 is an apocalyptic number.

It is an amenable number.

164256616 is an abundant number, since it is smaller than the sum of its proper divisors (166713884).

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

164256616 is a wasteful number, since it uses less digits than its factorization.

164256616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1111 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 164256616 is about 12816.2637301204. The cubic root of 164256616 is about 547.6557146242.

The spelling of 164256616 in words is "one hundred sixty-four million, two hundred fifty-six thousand, six hundred sixteen".

Divisors: 1 2 4 8 23 37 46 74 92 148 184 296 529 851 1049 1058 1702 2098 2116 3404 4196 4232 6808 8392 19573 24127 38813 39146 48254 77626 78292 96508 155252 156584 193016 310504 554921 892699 1109842 1785398 2219684 3570796 4439368 7141592 20532077 41064154 82128308 164256616