Search a number
-
+
2945586912 = 253129123767
BaseRepresentation
bin1010111110010010…
…0001011011100000
321121021122022121120
42233210201123200
522013032240122
61204142052240
7132665034642
oct25744413340
97537568546
102945586912
111281786054
126a257a080
1337c342548
141dd2c0892
151238e675c
hexaf9216e0

2945586912 has 48 divisors (see below), whose sum is σ = 7738480512. Its totient is φ = 981060480.

The previous prime is 2945586899. The next prime is 2945586913. The reversal of 2945586912 is 2196855492.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×29455869122 = 17352964512291391488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2945586913) 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, 112053 + ... + 135819.

It is an arithmetic number, because the mean of its divisors is an integer number (161218344).

Almost surely, 22945586912 is an apocalyptic number.

It is an amenable number.

2945586912 is an abundant number, since it is smaller than the sum of its proper divisors (4792893600).

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

2945586912 is a wasteful number, since it uses less digits than its factorization.

2945586912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25071 (or 25063 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 2945586912 is about 54273.2614829807. The cubic root of 2945586912 is about 1433.4766194356.

The spelling of 2945586912 in words is "two billion, nine hundred forty-five million, five hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1291 2582 3873 5164 7746 10328 15492 20656 23767 30984 41312 47534 61968 71301 95068 123936 142602 190136 285204 380272 570408 760544 1140816 2281632 30683197 61366394 92049591 122732788 184099182 245465576 368198364 490931152 736396728 981862304 1472793456 2945586912