Search a number
-
+
2954979104 = 2572111971127
BaseRepresentation
bin1011000000100001…
…0110011100100000
321121221022111021112
42300020112130200
522022433312404
61205115242452
7133140623300
oct26010263440
97557274245
102954979104
1112870105a0
126a5749428
1338128055c
14200647600
1512464e56e
hexb0216720

2954979104 has 288 divisors, whose sum is σ = 7942717440. Its totient is φ = 1066867200.

The previous prime is 2954979103. The next prime is 2954979107. The reversal of 2954979104 is 4019794592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2954979103) 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 47 ways as a sum of consecutive naturals, for example, 23267489 + ... + 23267615.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 22954979104 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 2954979104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971358720).

2954979104 is an abundant number, since it is smaller than the sum of its proper divisors (4987738336).

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

2954979104 is a wasteful number, since it uses less digits than its factorization.

2954979104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 2954979104 is about 54359.7194989084. The cubic root of 2954979104 is about 1434.9985802088.

The spelling of 2954979104 in words is "two billion, nine hundred fifty-four million, nine hundred seventy-nine thousand, one hundred four".