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2872260792 = 2332239717881
BaseRepresentation
bin1010101100110011…
…0011100010111000
321102011122222002100
42223030303202320
521340244321132
61153002303400
7131114546112
oct25314634270
97364588070
102872260792
111244353055
12681ab7b60
1336a0aaacb
141d36743b2
1511c26037c
hexab3338b8

2872260792 has 96 divisors (see below), whose sum is σ = 8201400480. Its totient is φ = 906301440.

The previous prime is 2872260791. The next prime is 2872260793. The reversal of 2872260792 is 2970622782.

2872260792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2872260791) and next prime (2872260793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872260791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151692 + ... + 169572.

It is an arithmetic number, because the mean of its divisors is an integer number (85431255).

Almost surely, 22872260792 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 2872260792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100700240).

2872260792 is an abundant number, since it is smaller than the sum of its proper divisors (5329139688).

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

2872260792 is a wasteful number, since it uses less digits than its factorization.

2872260792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18013 (or 18006 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2872260792 is about 53593.4771404133. The cubic root of 2872260792 is about 1421.4817555203.

The spelling of 2872260792 in words is "two billion, eight hundred seventy-two million, two hundred sixty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 97 138 184 194 207 276 291 388 414 552 582 776 828 873 1164 1656 1746 2231 2328 3492 4462 6693 6984 8924 13386 17848 17881 20079 26772 35762 40158 53544 53643 71524 80316 107286 143048 160632 160929 214572 321858 411263 429144 643716 822526 1233789 1287432 1645052 1734457 2467578 3290104 3468914 3701367 4935156 5203371 6937828 7402734 9870312 10406742 13875656 14805468 15610113 20813484 29610936 31220226 39892511 41626968 62440452 79785022 119677533 124880904 159570044 239355066 319140088 359032599 478710132 718065198 957420264 1436130396 2872260792