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2429501525 = 52112803141
BaseRepresentation
bin1001000011001111…
…0100000001010101
320021022112110112222
42100303310001111
514433423022100
61041024352125
7114130264553
oct22063640125
96238473488
102429501525
111037432500
12579775645
132c9447a89
1419093cbd3
15e3452485
hex90cf4055

2429501525 has 18 divisors (see below), whose sum is σ = 3311354466. Its totient is φ = 1766908000.

The previous prime is 2429501521. The next prime is 2429501551. The reversal of 2429501525 is 5251059242.

It can be written as a sum of positive squares in 3 ways, for example, as 756855121 + 1672646404 = 27511^2 + 40898^2 .

It is not a de Polignac number, because 2429501525 - 22 = 2429501521 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429501521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 398546 + ... + 404595.

It is an arithmetic number, because the mean of its divisors is an integer number (183964137).

Almost surely, 22429501525 is an apocalyptic number.

2429501525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2429501525 is a deficient number, since it is larger than the sum of its proper divisors (881852941).

2429501525 is a wasteful number, since it uses less digits than its factorization.

2429501525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803173 (or 803157 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 2429501525 is about 49289.9738790761. The cubic root of 2429501525 is about 1344.3294889468.

The spelling of 2429501525 in words is "two billion, four hundred twenty-nine million, five hundred one thousand, five hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 803141 4015705 8834551 20078525 44172755 97180061 220863775 485900305 2429501525