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8728639938 = 232194612
BaseRepresentation
bin10000010000100010…
…00111100111000010
3211112022110211222200
420020101013213002
5120334012434223
64002045014030
7426206133564
oct101021074702
924468424880
108728639938
11377a0a9417
121837254316
13a9149c405
145cb379334
15361478a43
hex2084479c2

8728639938 has 90 divisors (see below), whose sum is σ = 20295337257. Its totient is φ = 2711225520.

The previous prime is 8728639901. The next prime is 8728639939. The reversal of 8728639938 is 8399368278.

It can be written as a sum of positive squares in 2 ways, for example, as 5912533449 + 2816106489 = 76893^2 + 53067^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=66063.

It is not an unprimeable number, because it can be changed into a prime (8728639939) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 143092428 + ... + 143092488.

Almost surely, 28728639938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8728639938

8728639938 is an abundant number, since it is smaller than the sum of its proper divisors (11566697319).

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

8728639938 is an frugal number, since it uses more digits than its factorization.

8728639938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 85 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 8728639938 is about 93427.1905710538. The cubic root of 8728639938 is about 2058.9645043986.

The spelling of 8728639938 in words is "eight billion, seven hundred twenty-eight million, six hundred thirty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 361 366 549 722 1083 1098 1159 2166 2318 3249 3477 3721 6498 6859 6954 7442 10431 11163 13718 20577 20862 22021 22326 33489 41154 44042 61731 66063 66978 70699 123462 130321 132126 141398 198189 212097 260642 390963 396378 418399 424194 636291 781926 836798 1172889 1255197 1272582 1343281 2345778 2510394 2686562 3765591 4029843 7531182 7949581 8059686 12089529 15899162 23848743 24179058 25522339 47697486 51044678 71546229 76567017 143092458 153134034 229701051 459402102 484924441 969848882 1454773323 2909546646 4364319969 8728639938