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2852104640 = 265711115751
BaseRepresentation
bin1010100111111111…
…1010100111000000
321100202201221001012
42221333322213000
521320114322030
61151002300052
7130451326610
oct25177724700
97322657035
102852104640
111233a36480
126771b7628
13365b715a8
141d0b08a40
1511a5cd095
hexa9ffa9c0

2852104640 has 112 divisors (see below), whose sum is σ = 8467490304. Its totient is φ = 888960000.

The previous prime is 2852104639. The next prime is 2852104667. The reversal of 2852104640 is 464012582.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2852104597 and 2852104606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33236 + ... + 82515.

It is an arithmetic number, because the mean of its divisors is an integer number (75602592).

Almost surely, 22852104640 is an apocalyptic number.

2852104640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2852104640 is an abundant number, since it is smaller than the sum of its proper divisors (5615385664).

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

2852104640 is a wasteful number, since it uses less digits than its factorization.

2852104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115786 (or 115776 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2852104640 is about 53405.0993819879. The cubic root of 2852104640 is about 1418.1488541339.

The spelling of 2852104640 in words is "two billion, eight hundred fifty-two million, one hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 115751 231502 463004 578755 810257 926008 1157510 1273261 1620514 1852016 2315020 2546522 3241028 3704032 4051285 4630040 5093044 6366305 6482056 7408064 8102570 8912827 9260080 10186088 12732610 12964112 16205140 17825654 18520160 20372176 25465220 25928224 32410280 35651308 37040320 40744352 44564135 50930440 51856448 64820560 71302616 81488704 89128270 101860880 129641120 142605232 178256540 203721760 259282240 285210464 356513080 407443520 570420928 713026160 1426052320 2852104640