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4565053248 = 263721722373
BaseRepresentation
bin1000100000001100…
…10010111101000000
3102210010221201210020
410100012102331000
533322123200443
62032552533440
7221061212100
oct42006227500
912703851706
104565053248
111a32943088
12a749b1280
13579a02852
14314401200
151bab8d583
hex110192f40

4565053248 has 504 divisors, whose sum is σ = 15787737792. Its totient is φ = 1158119424.

The previous prime is 4565053193. The next prime is 4565053249. The reversal of 4565053248 is 8423505654.

It is a super-4 number, since 4×45650532484 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4565053249) 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 71 ways as a sum of consecutive naturals, for example, 62534940 + ... + 62535012.

Almost surely, 24565053248 is an apocalyptic number.

4565053248 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 4565053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893868896).

4565053248 is an abundant number, since it is smaller than the sum of its proper divisors (11222684544).

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

4565053248 is a wasteful number, since it uses less digits than its factorization.

4565053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The square root of 4565053248 is about 67565.1777767216. The cubic root of 4565053248 is about 1658.8811893052.

The spelling of 4565053248 in words is "four billion, five hundred sixty-five million, fifty-three thousand, two hundred forty-eight".