Search a number
-
+
2979425592 = 2334112133779
BaseRepresentation
bin1011000110010110…
…0110110100111000
321200122022111120000
42301211212310320
522100213104332
61211351233000
7133555461663
oct26145466470
97618274500
102979425592
111299898600
126b1978760
1338635c830
142039ac6da
1512687cb7c
hexb1966d38

2979425592 has 480 divisors, whose sum is σ = 10273771200. Its totient is φ = 800616960.

The previous prime is 2979425591. The next prime is 2979425633. The reversal of 2979425592 is 2955249792.

2979425592 is a `hidden beast` number, since 2 + 9 + 7 + 9 + 42 + 5 + 592 = 666.

2979425592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979425591) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37714209 + ... + 37714287.

It is an arithmetic number, because the mean of its divisors is an integer number (21403690).

Almost surely, 22979425592 is an apocalyptic number.

2979425592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979425592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136885600).

2979425592 is an abundant number, since it is smaller than the sum of its proper divisors (7294345608).

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

2979425592 is a wasteful number, since it uses less digits than its factorization.

2979425592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 2979425592 is about 54584.1148320645. The cubic root of 2979425592 is about 1438.9449563575.

The spelling of 2979425592 in words is "two billion, nine hundred seventy-nine million, four hundred twenty-five thousand, five hundred ninety-two".