Search a number
-
+
2762974096 = 241727732
BaseRepresentation
bin1010010010101111…
…1010001110010000
321010120000121220221
42210223322032100
521124310132341
61134100042424
7125316615031
oct24453721620
97116017827
102762974096
111198699373
12651393414
1335056531c
141c2d46a88
15112873ed1
hexa4afa390

2762974096 has 45 divisors (see below), whose sum is σ = 5694049651. Its totient is φ = 1298541056.

The previous prime is 2762974069. The next prime is 2762974099. The reversal of 2762974096 is 6904792672.

It is a happy number.

The square root of 2762974096 is 52564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 149719696 + 2613254400 = 12236^2 + 51120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2762974099) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3573966 + ... + 3574738.

Almost surely, 22762974096 is an apocalyptic number.

2762974096 is the 52564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2762974096

2762974096 is an abundant number, since it is smaller than the sum of its proper divisors (2931075555).

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

2762974096 is an frugal number, since it uses more digits than its factorization.

2762974096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The cubic root of 2762974096 is about 1403.2194778016.

The spelling of 2762974096 in words is "two billion, seven hundred sixty-two million, nine hundred seventy-four thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 773 1156 1546 2312 3092 4624 6184 12368 13141 26282 52564 105128 210256 223397 446794 597529 893588 1195058 1787176 2390116 3574352 4780232 9560464 10157993 20315986 40631972 81263944 162527888 172685881 345371762 690743524 1381487048 2762974096