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1828725093 = 34131736681
BaseRepresentation
bin110110100000000…
…0010000101100101
311201110001212020000
41231000002011211
512221123200333
6501243531513
763213623016
oct15500020545
94643055200
101828725093
118592a4258
12430529b99
13231b39970
14134c3300d
15aa82e713
hex6d002165

1828725093 has 20 divisors (see below), whose sum is σ = 2941939308. Its totient is φ = 1125368640.

The previous prime is 1828725083. The next prime is 1828725121. The reversal of 1828725093 is 3905278281.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 414814689 + 1413910404 = 20367^2 + 37602^2 .

It is not a de Polignac number, because 1828725093 - 24 = 1828725077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828725043) 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 19 ways as a sum of consecutive naturals, for example, 867288 + ... + 869393.

Almost surely, 21828725093 is an apocalyptic number.

1828725093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1828725093 is a deficient number, since it is larger than the sum of its proper divisors (1113214215).

1828725093 is a wasteful number, since it uses less digits than its factorization.

1828725093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736706 (or 1736697 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1828725093 is about 42763.5954171302. The cubic root of 1828725093 is about 1222.8770879335.

The spelling of 1828725093 in words is "one billion, eight hundred twenty-eight million, seven hundred twenty-five thousand, ninety-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1736681 5210043 15630129 22576853 46890387 67730559 140671161 203191677 609575031 1828725093