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3082854006 = 23519563593
BaseRepresentation
bin1011011111000000…
…1001111001110110
321221211221012200000
42313300021321312
522303202312011
61225524132130
7136252553361
oct26760117166
97854835600
103082854006
111342210931
12720537046
133a190398b
142136130d8
151309ad356
hexb7c09e76

3082854006 has 96 divisors (see below), whose sum is σ = 7316749440. Its totient is φ = 970164864.

The previous prime is 3082853981. The next prime is 3082854031. The reversal of 3082854006 is 6004582803.

3082854006 is a `hidden beast` number, since 30 + 82 + 8 + 540 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3082853981) and next prime (3082854031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5198446 + ... + 5199038.

It is an arithmetic number, because the mean of its divisors is an integer number (76216140).

Almost surely, 23082854006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082854006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658374720).

3082854006 is an abundant number, since it is smaller than the sum of its proper divisors (4233895434).

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

3082854006 is a wasteful number, since it uses less digits than its factorization.

3082854006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3082854006 is about 55523.4545575111. The cubic root of 3082854006 is about 1455.4065311054.

The spelling of 3082854006 in words is "three billion, eighty-two million, eight hundred fifty-four thousand, six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 563 593 1026 1126 1186 1539 1689 1779 3078 3378 3558 4617 5067 5337 9234 10134 10674 10697 11267 15201 16011 21394 22534 30402 32022 32091 33801 45603 48033 64182 67602 91206 96066 96273 101403 136809 144099 192546 202806 273618 288198 288819 304209 333859 577638 608418 667718 866457 912627 1001577 1732914 1825254 2003154 2599371 2737881 3004731 5198742 5475762 6009462 6343321 9014193 12686642 18028386 19029963 27042579 38059926 54085158 57089889 81127737 114179778 162255474 171269667 342539334 513809001 1027618002 1541427003 3082854006