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2890063872 = 2133239199
BaseRepresentation
bin1010110001000010…
…1110000000000000
321110102011110022200
42230100232000000
521404324020442
61154440033200
7131422065123
oct25420560000
97412143280
102890063872
111253402843
12687a62800
133709a2287
141d5b8a3ba
1511daca34c
hexac42e000

2890063872 has 84 divisors (see below), whose sum is σ = 8348776800. Its totient is φ = 963330048.

The previous prime is 2890063861. The next prime is 2890063879. The reversal of 2890063872 is 2783600982.

2890063872 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 0 + 638 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890063879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54129 + ... + 93327.

It is an arithmetic number, because the mean of its divisors is an integer number (99390200).

Almost surely, 22890063872 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 2890063872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174388400).

2890063872 is an abundant number, since it is smaller than the sum of its proper divisors (5458712928).

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

2890063872 is an equidigital number, since it uses as much as digits as its factorization.

2890063872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39231 (or 39204 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2890063872 is about 53759.3142813411. The cubic root of 2890063872 is about 1424.4126229243.

The spelling of 2890063872 in words is "two billion, eight hundred ninety million, sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 39199 73728 78398 117597 156796 235194 313592 352791 470388 627184 705582 940776 1254368 1411164 1881552 2508736 2822328 3763104 5017472 5644656 7526208 10034944 11289312 15052416 20069888 22578624 30104832 40139776 45157248 60209664 80279552 90314496 120419328 160559104 180628992 240838656 321118208 361257984 481677312 722515968 963354624 1445031936 2890063872