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4524269568 = 21337213172
BaseRepresentation
bin1000011011010101…
…01110000000000000
3102200022012201002120
410031222232000000
533231203111233
62024534444240
7220054441200
oct41552560000
912608181076
104524269568
111a11917765
12a63203680
135714233b0
1430cc26400
151b72d44b3
hex10daae000

4524269568 has 504 divisors, whose sum is σ = 16054422552. Its totient is φ = 1123024896.

The previous prime is 4524269567. The next prime is 4524269573. The reversal of 4524269568 is 8659624254.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (4147200) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 4524269568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4524269567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266133496 + ... + 266133512.

It is an arithmetic number, because the mean of its divisors is an integer number (31854013).

Almost surely, 24524269568 is an apocalyptic number.

4524269568 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 4524269568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027211276).

4524269568 is an abundant number, since it is smaller than the sum of its proper divisors (11530152984).

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

4524269568 is a wasteful number, since it uses less digits than its factorization.

4524269568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 4524269568 is about 67262.6907579529. The cubic root of 4524269568 is about 1653.9263175297.

The spelling of 4524269568 in words is "four billion, five hundred twenty-four million, two hundred sixty-nine thousand, five hundred sixty-eight".