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2481422528 = 261323314789
BaseRepresentation
bin1001001111100111…
…1000000011000000
320101221020022210002
42103321320003000
520040221010103
61050121255132
7115330513004
oct22371700300
96357208702
102481422528
111063775522
125930344a8
13307126670
141977b6704
15e7cab488
hex93e780c0

2481422528 has 224 divisors, whose sum is σ = 5898977280. Its totient is φ = 1025925120.

The previous prime is 2481422521. The next prime is 2481422539. The reversal of 2481422528 is 8252241842.

It is a junction number, because it is equal to n+sod(n) for n = 2481422491 and 2481422500.

It is not an unprimeable number, because it can be changed into a prime (2481422521) 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, 27881108 + ... + 27881196.

It is an arithmetic number, because the mean of its divisors is an integer number (26334720).

Almost surely, 22481422528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2481422528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949488640).

2481422528 is an abundant number, since it is smaller than the sum of its proper divisors (3417554752).

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

2481422528 is a wasteful number, since it uses less digits than its factorization.

2481422528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 81920, while the sum is 38.

The square root of 2481422528 is about 49813.8788692469. The cubic root of 2481422528 is about 1353.8386454288.

The spelling of 2481422528 in words is "two billion, four hundred eighty-one million, four hundred twenty-two thousand, five hundred twenty-eight".