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4523880960 = 29325414789
BaseRepresentation
bin1000011011010010…
…01111001000000000
3102200021110222000200
410031221033020000
533231103142320
62024522245200
7220051232214
oct41551171000
912607428020
104523880960
111a116817a5
12a63056800
13571318551
1430cb64944
151b7259290
hex10da4f200

4523880960 has 240 divisors, whose sum is σ = 16052956920. Its totient is φ = 1176698880.

The previous prime is 4523880953. The next prime is 4523880967. The reversal of 4523880960 is 690883254.

4523880960 is a `hidden beast` number, since 452 + 38 + 80 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4523880953) and next prime (4523880967).

It can be written as a sum of positive squares in 4 ways, for example, as 1299458304 + 3224422656 = 36048^2 + 56784^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4523880967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942246 + ... + 947034.

Almost surely, 24523880960 is an apocalyptic number.

4523880960 is a gapful number since it is divisible by the number (40) 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 4523880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026478460).

4523880960 is an abundant number, since it is smaller than the sum of its proper divisors (11529075960).

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

4523880960 is a wasteful number, since it uses less digits than its factorization.

4523880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4523880960 is about 67259.8019622419. The cubic root of 4523880960 is about 1653.8789620106.

The spelling of 4523880960 in words is "four billion, five hundred twenty-three million, eight hundred eighty thousand, nine hundred sixty".