Search a number
-
+
4278607872 = 213372111719
BaseRepresentation
bin1111111100000110…
…0110000000000000
3102001011221210121020
43333001212000000
532230310422442
61544321225440
7211012365300
oct37701460000
912034853536
104278607872
1118a6187470
129b4a92280
1353256c546
142c8359600
151a095a9ec
hexff066000

4278607872 has 672 divisors, whose sum is σ = 16136599680. Its totient is φ = 990904320.

The previous prime is 4278607859. The next prime is 4278607877. The reversal of 4278607872 is 2787068724.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4278607877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225189879 + ... + 225189897.

Almost surely, 24278607872 is an apocalyptic number.

4278607872 is a gapful number since it is divisible by the number (42) 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 4278607872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8068299840).

4278607872 is an abundant number, since it is smaller than the sum of its proper divisors (11857991808).

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

4278607872 is a wasteful number, since it uses less digits than its factorization.

4278607872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The square root of 4278607872 is about 65411.0684211778. The cubic root of 4278607872 is about 1623.4322232393.

The spelling of 4278607872 in words is "four billion, two hundred seventy-eight million, six hundred seven thousand, eight hundred seventy-two".