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4565249472 = 263719317379
BaseRepresentation
bin1000100000001110…
…00010110111000000
3102210011022200221210
410100013002313000
533322200440342
62033001050120
7221062660140
oct42007026700
912704280853
104565249472
111a32a67553
12a74a86940
13579a70c64
14314452920
151babcb79c
hex1101c2dc0

4565249472 has 448 divisors, whose sum is σ = 15397683200. Its totient is φ = 1164533760.

The previous prime is 4565249471. The next prime is 4565249527. The reversal of 4565249472 is 2749425654.

It is a tau number, because it is divible by the number of its divisors (448).

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

Its product of digits (2419200) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4565249471) 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 63 ways as a sum of consecutive naturals, for example, 57787929 + ... + 57788007.

Almost surely, 24565249472 is an apocalyptic number.

4565249472 is a gapful number since it is divisible by the number (42) 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 4565249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698841600).

4565249472 is an abundant number, since it is smaller than the sum of its proper divisors (10832433728).

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

4565249472 is a wasteful number, since it uses less digits than its factorization.

4565249472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 4565249472 is about 67566.6298700771. The cubic root of 4565249472 is about 1658.9049573842.

The spelling of 4565249472 in words is "four billion, five hundred sixty-five million, two hundred forty-nine thousand, four hundred seventy-two".