Search a number
-
+
4208226048 = 28341367233
BaseRepresentation
bin1111101011010100…
…0110111100000000
3101212021112000220000
43322311012330000
532104301213143
61533324520000
7206166221415
oct37265067400
911767460800
104208226048
11186a485574
129953b0000
13520ac8cb0
142bcc7810c
151996a6bd3
hexfad46f00

4208226048 has 360 divisors, whose sum is σ = 13773968208. Its totient is φ = 1270038528.

The previous prime is 4208226041. The next prime is 4208226049. The reversal of 4208226048 is 8406228024.

It is a happy number.

4208226048 is a `hidden beast` number, since 4 + 20 + 8 + 22 + 604 + 8 = 666.

4208226048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208226041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18060940 + ... + 18061172.

Almost surely, 24208226048 is an apocalyptic number.

4208226048 is a gapful number since it is divisible by the number (48) 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 4208226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886984104).

4208226048 is an abundant number, since it is smaller than the sum of its proper divisors (9565742160).

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

4208226048 is a wasteful number, since it uses less digits than its factorization.

4208226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4208226048 is about 64870.8412771100. The cubic root of 4208226048 is about 1614.4813036468.

The spelling of 4208226048 in words is "four billion, two hundred eight million, two hundred twenty-six thousand, forty-eight".