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2484584028 = 2232653105691
BaseRepresentation
bin1001010000010111…
…1011111001011100
320102011011221112200
42110011323321130
520042023142103
61050313131500
7115366421133
oct22405737134
96364157480
102484584028
111065534833
125940b9b90
13307992684
14197d9a91a
15e81d30a3
hex9417be5c

2484584028 has 36 divisors (see below), whose sum is σ = 6290153688. Its totient is φ = 826918560.

The previous prime is 2484584027. The next prime is 2484584029. The reversal of 2484584028 is 8204854842.

2484584028 is a `hidden beast` number, since 2 + 48 + 4 + 584 + 0 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2484584027) and next prime (2484584029).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×24845840283 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484584027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29338 + ... + 76353.

Almost surely, 22484584028 is an apocalyptic number.

It is an amenable number.

2484584028 is an abundant number, since it is smaller than the sum of its proper divisors (3805569660).

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

2484584028 is a wasteful number, since it uses less digits than its factorization.

2484584028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106354 (or 106349 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 2484584028 is about 49845.6018922432. The cubic root of 2484584028 is about 1354.4133620650.

The spelling of 2484584028 in words is "two billion, four hundred eighty-four million, five hundred eighty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 653 1306 1959 2612 3918 5877 7836 11754 23508 105691 211382 317073 422764 634146 951219 1268292 1902438 3804876 69016223 138032446 207048669 276064892 414097338 621146007 828194676 1242292014 2484584028