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3053537280 = 211325171949
BaseRepresentation
bin1011011000000001…
…0100100000000000
321212210202202200100
42312000110200000
522223201143110
61222555522400
7135445432023
oct26600244000
97783682610
103053537280
111327707832
12712759400
1339880a9c1
1420d7811ba
1512d11bbc0
hexb6014800

3053537280 has 288 divisors, whose sum is σ = 11211291000. Its totient is φ = 765984768.

The previous prime is 3053537273. The next prime is 3053537287. The reversal of 3053537280 is 827353503.

It is an interprime number because it is at equal distance from previous prime (3053537273) and next prime (3053537287).

It can be written as a sum of positive squares in 4 ways, for example, as 2983781376 + 69755904 = 54624^2 + 8352^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3053537287) 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, 1565746 + ... + 1567694.

Almost surely, 23053537280 is an apocalyptic number.

3053537280 is a gapful number since it is divisible by the number (30) 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 3053537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605645500).

3053537280 is an abundant number, since it is smaller than the sum of its proper divisors (8157753720).

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

3053537280 is a wasteful number, since it uses less digits than its factorization.

3053537280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3053537280 is about 55258.8208343247. The cubic root of 3053537280 is about 1450.7783819195.

The spelling of 3053537280 in words is "three billion, fifty-three million, five hundred thirty-seven thousand, two hundred eighty".