Search a number
-
+
2920565824 = 261110340277
BaseRepresentation
bin1010111000010100…
…0100110001000000
321112112120010010121
42232011010301000
521440131101244
61201445510024
7132242254111
oct25605046100
97475503117
102920565824
111269646370
12696112314
133770c1877
141d9c4a208
15121602c84
hexae144c40

2920565824 has 56 divisors (see below), whose sum is σ = 6383901888. Its totient is φ = 1314608640.

The previous prime is 2920565821. The next prime is 2920565827. The reversal of 2920565824 is 4285650292.

It is an interprime number because it is at equal distance from previous prime (2920565821) and next prime (2920565827).

It is not an unprimeable number, because it can be changed into a prime (2920565821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52374 + ... + 92650.

It is an arithmetic number, because the mean of its divisors is an integer number (113998248).

Almost surely, 22920565824 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 2920565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191950944).

2920565824 is an abundant number, since it is smaller than the sum of its proper divisors (3463336064).

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

2920565824 is a wasteful number, since it uses less digits than its factorization.

2920565824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40403 (or 40393 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 2920565824 is about 54042.2596122701. The cubic root of 2920565824 is about 1429.4062157305.

The spelling of 2920565824 in words is "two billion, nine hundred twenty million, five hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 176 206 352 412 704 824 1133 1648 2266 3296 4532 6592 9064 18128 36256 40277 72512 80554 161108 322216 443047 644432 886094 1288864 1772188 2577728 3544376 4148531 7088752 8297062 14177504 16594124 28355008 33188248 45633841 66376496 91267682 132752992 182535364 265505984 365070728 730141456 1460282912 2920565824