Search a number
-
+
2890622976 = 21131074397
BaseRepresentation
bin1010110001001011…
…0110100000000000
321110110012212021020
42230102312200000
521404444413401
61154500025440
7131426614143
oct25422664000
97413185236
102890622976
11125375490a
12688092280
13370b398c7
141d5c9405a
1511db8ad36
hexac4b6800

2890622976 has 96 divisors (see below), whose sum is σ = 7780237920. Its totient is φ = 954318848.

The previous prime is 2890622971. The next prime is 2890623017. The reversal of 2890622976 is 6792260982.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2890622971) 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, 655210 + ... + 659606.

It is an arithmetic number, because the mean of its divisors is an integer number (81044145).

Almost surely, 22890622976 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 2890622976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890118960).

2890622976 is an abundant number, since it is smaller than the sum of its proper divisors (4889614944).

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

2890622976 is a wasteful number, since it uses less digits than its factorization.

2890622976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 2890622976 is about 53764.5140961955. The cubic root of 2890622976 is about 1424.5044713493.

The spelling of 2890622976 in words is "two billion, eight hundred ninety million, six hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2048 2568 3072 3424 4397 5136 6144 6848 8794 10272 13191 13696 17588 20544 26382 27392 35176 41088 52764 54784 70352 82176 105528 109568 140704 164352 211056 219136 281408 328704 422112 470479 562816 657408 844224 940958 1125632 1411437 1688448 1881916 2251264 2822874 3376896 3763832 4502528 5645748 6753792 7527664 9005056 11291496 13507584 15055328 22582992 27015168 30110656 45165984 60221312 90331968 120442624 180663936 240885248 361327872 481770496 722655744 963540992 1445311488 2890622976