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3685392048 = 2431359100103
BaseRepresentation
bin1101101110101010…
…1001111010110000
3100111211201022110210
43123222221322300
530021430021143
61405410424120
7160220213142
oct33352517260
910454638423
103685392048
111621342658
1286a292040
134696aa870
1426d65ac92
1516882d033
hexdbaa9eb0

3685392048 has 80 divisors (see below), whose sum is σ = 10426832640. Its totient is φ = 1114735872.

The previous prime is 3685392041. The next prime is 3685392049. The reversal of 3685392048 is 8402935863.

It is a super-2 number, since 2×36853920482 = 27164229094923268608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3685391988 and 3685392006.

It is not an unprimeable number, because it can be changed into a prime (3685392041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13236 + ... + 86867.

It is an arithmetic number, because the mean of its divisors is an integer number (130335408).

Almost surely, 23685392048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685392048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213416320).

3685392048 is an abundant number, since it is smaller than the sum of its proper divisors (6741440592).

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

3685392048 is a wasteful number, since it uses less digits than its factorization.

3685392048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100186 (or 100180 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 3685392048 is about 60707.4299241864. The cubic root of 3685392048 is about 1544.6422087044.

The spelling of 3685392048 in words is "three billion, six hundred eighty-five million, three hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 12272 18408 36816 100103 200206 300309 400412 600618 800824 1201236 1301339 1601648 2402472 2602678 3904017 4804944 5205356 5906077 7808034 10410712 11812154 15616068 17718231 20821424 23624308 31232136 35436462 47248616 62464272 70872924 76779001 94497232 141745848 153558002 230337003 283491696 307116004 460674006 614232008 921348012 1228464016 1842696024 3685392048