Search a number
-
+
164124744 = 2337976933
BaseRepresentation
bin10011100100001…
…01100001001000
3102102211101211020
421302011201020
5314003442434
624141432440
74032015540
oct1162054110
9372741736
10164124744
118470a393
1246b6b720
1328006044
1417b24320
15e61e849
hex9c85848

164124744 has 32 divisors (see below), whose sum is σ = 468928320. Its totient is φ = 46892736.

The previous prime is 164124743. The next prime is 164124773. The reversal of 164124744 is 447421461.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (164124743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488299 + ... + 488634.

It is an arithmetic number, because the mean of its divisors is an integer number (14654010).

Almost surely, 2164124744 is an apocalyptic number.

164124744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164124744 is an abundant number, since it is smaller than the sum of its proper divisors (304803576).

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

164124744 is a wasteful number, since it uses less digits than its factorization.

164124744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976949 (or 976945 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 164124744 is about 12811.1179840012. The cubic root of 164124744 is about 547.5091151711.

The spelling of 164124744 in words is "one hundred sixty-four million, one hundred twenty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 976933 1953866 2930799 3907732 5861598 6838531 7815464 11723196 13677062 20515593 23446392 27354124 41031186 54708248 82062372 164124744