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3085631296 = 261179109509
BaseRepresentation
bin1011011111101010…
…1111111101000000
321222001011022101121
42313322233331000
522304410200141
61230103442024
7136315301416
oct26772577500
97861138347
103085631296
111343838510
12721456314
133a2366b47
14213b372b6
15130d5b1d1
hexb7eaff40

3085631296 has 112 divisors (see below), whose sum is σ = 6839712000. Its totient is φ = 1369405440.

The previous prime is 3085631267. The next prime is 3085631299. The reversal of 3085631296 is 6921365803.

It is a super-2 number, since 2×30856312962 = 19042240989709279232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085631299) 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, 6061890 + ... + 6062398.

Almost surely, 23085631296 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 3085631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419856000).

3085631296 is an abundant number, since it is smaller than the sum of its proper divisors (3754080704).

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

3085631296 is a wasteful number, since it uses less digits than its factorization.

3085631296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 3085631296 is about 55548.4589885264. The cubic root of 3085631296 is about 1455.8434501409.

The spelling of 3085631296 in words is "three billion, eighty-five million, six hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 109 158 176 218 316 352 436 509 632 704 869 872 1018 1199 1264 1738 1744 2036 2398 2528 3476 3488 4072 4796 5056 5599 6952 6976 8144 8611 9592 11198 13904 16288 17222 19184 22396 27808 32576 34444 38368 40211 44792 55481 55616 68888 76736 80422 89584 94721 110962 137776 160844 179168 189442 221924 275552 321688 358336 378884 442321 443848 551104 610291 643376 757768 884642 887696 1220582 1286752 1515536 1769284 1775392 2441164 2573504 3031072 3538568 3550784 4382999 4882328 6062144 7077136 8765998 9764656 14154272 17531996 19529312 28308544 35063992 39058624 48212989 70127984 96425978 140255968 192851956 280511936 385703912 771407824 1542815648 3085631296