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2890854912 = 293112343173
BaseRepresentation
bin1010110001001110…
…1111001000000000
321110110122122102110
42230103233020000
521410024324122
61154505015320
7131431601301
oct25423571000
97413578373
102890854912
1112538a30a0
12688184540
13370bbb34a
141d5d147a8
1511dbd490c
hexac4ef200

2890854912 has 320 divisors, whose sum is σ = 9022565376. Its totient is φ = 813711360.

The previous prime is 2890854893. The next prime is 2890854943. The reversal of 2890854912 is 2194580982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16710058 + ... + 16710230.

Almost surely, 22890854912 is an apocalyptic number.

2890854912 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 2890854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511282688).

2890854912 is an abundant number, since it is smaller than the sum of its proper divisors (6131710464).

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

2890854912 is a wasteful number, since it uses less digits than its factorization.

2890854912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 2890854912 is about 53766.6710146723. The cubic root of 2890854912 is about 1424.5425698302.

The spelling of 2890854912 in words is "two billion, eight hundred ninety million, eight hundred fifty-four thousand, nine hundred twelve".