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2893162740 = 2235139738239
BaseRepresentation
bin1010110001110010…
…0010100011110100
321110121222220011120
42230130202203310
521411122201430
61155030303540
7131460322536
oct25434424364
97417886146
102893162740
111255129a96
12688ab7bb0
13371518920
141d6355856
1511dedd610
hexac7228f4

2893162740 has 96 divisors (see below), whose sum is σ = 8814167040. Its totient is φ = 704802816.

The previous prime is 2893162739. The next prime is 2893162751. The reversal of 2893162740 is 472613982.

It is a junction number, because it is equal to n+sod(n) for n = 2893162692 and 2893162701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56541 + ... + 94779.

It is an arithmetic number, because the mean of its divisors is an integer number (91814240).

Almost surely, 22893162740 is an apocalyptic number.

2893162740 is a gapful number since it is divisible by the number (20) 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 2893162740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407083520).

2893162740 is an abundant number, since it is smaller than the sum of its proper divisors (5921004300).

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

2893162740 is a wasteful number, since it uses less digits than its factorization.

2893162740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38361 (or 38359 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2893162740 is about 53788.1282440652. The cubic root of 2893162740 is about 1424.9215493900.

The spelling of 2893162740 in words is "two billion, eight hundred ninety-three million, one hundred sixty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 97 130 156 194 195 260 291 388 390 485 582 780 970 1164 1261 1455 1940 2522 2910 3783 5044 5820 6305 7566 12610 15132 18915 25220 37830 38239 75660 76478 114717 152956 191195 229434 382390 458868 497107 573585 764780 994214 1147170 1491321 1988428 2294340 2485535 2982642 3709183 4971070 5965284 7418366 7456605 9942140 11127549 14836732 14913210 18545915 22255098 29826420 37091830 44510196 48219379 55637745 74183660 96438758 111275490 144658137 192877516 222550980 241096895 289316274 482193790 578632548 723290685 964387580 1446581370 2893162740