Search a number
-
+
4161489624 = 233282370229
BaseRepresentation
bin1111100000001011…
…0100101011011000
3101202000120120120100
43320002310223120
532010320131444
61524535055400
7205061035545
oct37002645330
911660516510
104161489624
111846063826
12981811560
135142141c6
142b698dbcc
15195523e69
hexf80b4ad8

4161489624 has 48 divisors (see below), whose sum is σ = 11284556400. Its totient is φ = 1385457984.

The previous prime is 4161489623. The next prime is 4161489643. The reversal of 4161489624 is 4269841614.

4161489624 is a `hidden beast` number, since 4 + 1 + 6 + 14 + 8 + 9 + 624 = 666.

It is a super-2 number, since 2×41614896242 = 34635991781319322752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4161489624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161489623) 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, 24142 + ... + 94370.

It is an arithmetic number, because the mean of its divisors is an integer number (235094925).

Almost surely, 24161489624 is an apocalyptic number.

It is an amenable number.

4161489624 is an abundant number, since it is smaller than the sum of its proper divisors (7123066776).

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

4161489624 is a wasteful number, since it uses less digits than its factorization.

4161489624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71064 (or 71057 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4161489624 is about 64509.6087726472. The cubic root of 4161489624 is about 1608.4822475008.

The spelling of 4161489624 in words is "four billion, one hundred sixty-one million, four hundred eighty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 823 1646 2469 3292 4938 6584 7407 9876 14814 19752 29628 59256 70229 140458 210687 280916 421374 561832 632061 842748 1264122 1685496 2528244 5056488 57798467 115596934 173395401 231193868 346790802 462387736 520186203 693581604 1040372406 1387163208 2080744812 4161489624