Search a number
-
+
4421968848 = 243411313991
BaseRepresentation
bin1000001111001000…
…11110001111010000
3102102011201021220000
410013210132033100
533024011000343
62010442050000
7214403054313
oct40744361720
912364637800
104421968848
11196a0a4710
12a34aa9900
1355618561b
142dd3d697a
151ad327ed3
hex10791e3d0

4421968848 has 200 divisors, whose sum is σ = 14020697856. Its totient is φ = 1334361600.

The previous prime is 4421968847. The next prime is 4421968849. The reversal of 4421968848 is 8488691244.

It is a happy number.

4421968848 is a `hidden beast` number, since 442 + 196 + 8 + 8 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4421968847) and next prime (4421968849).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 4421968794 and 4421968803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4421968841) 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, 4461633 + ... + 4462623.

Almost surely, 24421968848 is an apocalyptic number.

4421968848 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 4421968848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010348928).

4421968848 is an abundant number, since it is smaller than the sum of its proper divisors (9598729008).

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

4421968848 is a wasteful number, since it uses less digits than its factorization.

4421968848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1320 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 4421968848 is about 66497.8860415878. The cubic root of 4421968848 is about 1641.3652185520.

The spelling of 4421968848 in words is "four billion, four hundred twenty-one million, nine hundred sixty-eight thousand, eight hundred forty-eight".