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3035095872 = 263193672267
BaseRepresentation
bin1011010011100111…
…1110001101000000
321211112001211211020
42310321332031000
522203441031442
61221100345440
7135132614004
oct26471761500
97745054736
103035095872
1113182614a6
12708545280
13394a51b23
1420b140704
1512b6c79ec
hexb4e7e340

3035095872 has 112 divisors (see below), whose sum is σ = 8479779840. Its totient is φ = 955418112.

The previous prime is 3035095849. The next prime is 3035095883. The reversal of 3035095872 is 2785905303.

3035095872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337683 + ... + 1339949.

It is an arithmetic number, because the mean of its divisors is an integer number (75712320).

Almost surely, 23035095872 is an apocalyptic number.

3035095872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3035095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239889920).

3035095872 is an abundant number, since it is smaller than the sum of its proper divisors (5444683968).

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

3035095872 is a wasteful number, since it uses less digits than its factorization.

3035095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 3035095872 is about 55091.7042030831. The cubic root of 3035095872 is about 1447.8518920988.

The spelling of 3035095872 in words is "three billion, thirty-five million, ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 367 456 608 734 912 1101 1216 1468 1824 2202 2267 2936 3648 4404 4534 5872 6801 6973 8808 9068 11744 13602 13946 17616 18136 20919 23488 27204 27892 35232 36272 41838 43073 54408 55784 70464 72544 83676 86146 108816 111568 129219 145088 167352 172292 217632 223136 258438 334704 344584 435264 446272 516876 669408 689168 831989 1033752 1338816 1378336 1663978 2067504 2495967 2756672 3327956 4135008 4991934 6655912 8270016 9983868 13311824 15807791 19967736 26623648 31615582 39935472 47423373 53247296 63231164 79870944 94846746 126462328 159741888 189693492 252924656 379386984 505849312 758773968 1011698624 1517547936 3035095872