Search a number
-
+
3780235872 = 253371736767
BaseRepresentation
bin1110000101010001…
…1101001001100000
3100202110011212202000
43201110131021200
530220220021442
61423035324000
7162451321560
oct34124351140
910673155660
103780235872
11166a932186
12895bb0600
1348323747a
1427c0a8da0
15171d14d4c
hexe151d260

3780235872 has 192 divisors, whose sum is σ = 13342371840. Its totient is φ = 1016506368.

The previous prime is 3780235871. The next prime is 3780235891. The reversal of 3780235872 is 2785320873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780235871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84433 + ... + 121199.

It is an arithmetic number, because the mean of its divisors is an integer number (69491520).

Almost surely, 23780235872 is an apocalyptic number.

3780235872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780235872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671185920).

3780235872 is an abundant number, since it is smaller than the sum of its proper divisors (9562135968).

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

3780235872 is a wasteful number, since it uses less digits than its factorization.

3780235872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36810 (or 36796 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3780235872 is about 61483.6227950175. The cubic root of 3780235872 is about 1557.7806310446.

The spelling of 3780235872 in words is "three billion, seven hundred eighty million, two hundred thirty-five thousand, eight hundred seventy-two".