Search a number
-
+
2923531026 = 2313193974969
BaseRepresentation
bin1010111001000001…
…1000101100010010
321112202010202121220
42232100120230102
521441410443101
61202033225510
7132306414033
oct25620305422
97482122556
102923531026
111270291149
12697102296
133778bc420
141da3bca8a
151219db636
hexae418b12

2923531026 has 64 divisors (see below), whose sum is σ = 6646281600. Its totient is φ = 849885696.

The previous prime is 2923530949. The next prime is 2923531033. The reversal of 2923531026 is 6201353292.

It is a super-2 number, since 2×29235310262 = 17094067319969225352, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585870 + ... + 590838.

It is an arithmetic number, because the mean of its divisors is an integer number (103848150).

Almost surely, 22923531026 is an apocalyptic number.

2923531026 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2923531026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323140800).

2923531026 is an abundant number, since it is smaller than the sum of its proper divisors (3722750574).

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

2923531026 is a wasteful number, since it uses less digits than its factorization.

2923531026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 2923531026 is about 54069.6867569991. The cubic root of 2923531026 is about 1429.8898029091.

The spelling of 2923531026 in words is "two billion, nine hundred twenty-three million, five hundred thirty-one thousand, twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 397 494 741 794 1191 1482 2382 4969 5161 7543 9938 10322 14907 15086 15483 22629 29814 30966 45258 64597 94411 98059 129194 188822 193791 196118 283233 294177 387582 566466 588354 1227343 1972693 2454686 3682029 3945386 5918079 7364058 11836158 25645009 37481167 51290018 74962334 76935027 112443501 153870054 224887002 487255171 974510342 1461765513 2923531026