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8480440848 = 24311219313767
BaseRepresentation
bin1111110010111100…
…10100001000010000
3210220000110000211210
413321132110020100
5114331443101343
63521301140120
7420103362225
oct77136241020
923800400753
108480440848
113661a95800
1217880ba640
13a51c3a649
145a640b94c
1534979d333
hex1f9794210

8480440848 has 480 divisors, whose sum is σ = 27273809920. Its totient is φ = 2258150400.

The previous prime is 8480440847. The next prime is 8480440877.

It is a happy number.

8480440848 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8480440797 and 8480440806.

It is not an unprimeable number, because it can be changed into a prime (8480440847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126573711 + ... + 126573777.

Almost surely, 28480440848 is an apocalyptic number.

8480440848 is a gapful number since it is divisible by the number (88) 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 8480440848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636904960).

8480440848 is an abundant number, since it is smaller than the sum of its proper divisors (18793369072).

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

8480440848 is a wasteful number, since it uses less digits than its factorization.

8480440848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 8480440848 is about 92089.3090863429. The cubic root of 8480440848 is about 2039.2609818322.

Multiplying 8480440848 by its sum of digits (48), we get a palindrome (407061160704).

The spelling of 8480440848 in words is "eight billion, four hundred eighty million, four hundred forty thousand, eight hundred forty-eight".