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2830385792 = 27139671759
BaseRepresentation
bin1010100010110100…
…0100001010000000
321022020212111101102
42220231010022000
521244034321132
61144504553532
7130065611423
oct25055041200
97266774342
102830385792
111222751813
1266ba828a8
133615089c0
141cbc939ba
1511873cc62
hexa8b44280

2830385792 has 64 divisors (see below), whose sum is σ = 6082137600. Its totient is φ = 1304239104.

The previous prime is 2830385791. The next prime is 2830385807. The reversal of 2830385792 is 2975830382.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×28303857922 = 16022167463110934528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2830385791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608209 + ... + 1609967.

It is an arithmetic number, because the mean of its divisors is an integer number (95033400).

Almost surely, 22830385792 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 2830385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041068800).

2830385792 is an abundant number, since it is smaller than the sum of its proper divisors (3251751808).

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

2830385792 is a wasteful number, since it uses less digits than its factorization.

2830385792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 2830385792 is about 53201.3702079185. The cubic root of 2830385792 is about 1414.5399315908.

The spelling of 2830385792 in words is "two billion, eight hundred thirty million, three hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 967 1664 1759 1934 3518 3868 7036 7736 12571 14072 15472 22867 25142 28144 30944 45734 50284 56288 61888 91468 100568 112576 123776 182936 201136 225152 365872 402272 731744 804544 1463488 1609088 1700953 2926976 3401906 6803812 13607624 22112389 27215248 44224778 54430496 88449556 108860992 176899112 217721984 353798224 707596448 1415192896 2830385792