Search a number
-
+
3768489648 = 24327211232111
BaseRepresentation
bin1110000010011110…
…1001011010110000
3100201122002002221200
43200213221122300
530204213132043
61421535451200
7162246430200
oct34047513260
910648062850
103768489648
11166423a060
12892086b00
13480983b41
1427a6cc400
15170c947d3
hexe09e96b0

3768489648 has 360 divisors, whose sum is σ = 13972248576. Its totient is φ = 935827200.

The previous prime is 3768489623. The next prime is 3768489691. The reversal of 3768489648 is 8469848673.

3768489648 is a `hidden beast` number, since 37 + 68 + 489 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1784113 + ... + 1786223.

Almost surely, 23768489648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768489648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986124288).

3768489648 is an abundant number, since it is smaller than the sum of its proper divisors (10203758928).

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

3768489648 is a wasteful number, since it uses less digits than its factorization.

3768489648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2157 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The square root of 3768489648 is about 61388.0252818088. The cubic root of 3768489648 is about 1556.1654738627.

The spelling of 3768489648 in words is "three billion, seven hundred sixty-eight million, four hundred eighty-nine thousand, six hundred forty-eight".