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4824054144 = 27347135113
BaseRepresentation
bin1000111111000100…
…10011100110000000
3110110012022100020000
410133202103212000
534334424213034
62114404120000
7230354532540
oct43742234600
913405270200
104824054144
112056064308
12b27696000
135bb577110
1433a981320
151d379e599
hex11f893980

4824054144 has 320 divisors, whose sum is σ = 17672756640. Its totient is φ = 1272029184.

The previous prime is 4824054127. The next prime is 4824054211. The reversal of 4824054144 is 4414504284.

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

It is a junction number, because it is equal to n+sod(n) for n = 4824054099 and 4824054108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 940932 + ... + 946044.

Almost surely, 24824054144 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 4824054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8836378320).

4824054144 is an abundant number, since it is smaller than the sum of its proper divisors (12848702496).

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

4824054144 is a wasteful number, since it uses less digits than its factorization.

4824054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The square root of 4824054144 is about 69455.4111930813. The cubic root of 4824054144 is about 1689.6784215925.

The spelling of 4824054144 in words is "four billion, eight hundred twenty-four million, fifty-four thousand, one hundred forty-four".