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83844540 = 223251335831
BaseRepresentation
bin1001111111101…
…01110110111100
312211202202002100
410333311312330
5132431011130
612153025100
72035444503
oct477656674
9184682070
1083844540
114336770a
12240b5190
13144a8270
14b1c783a
157562c60
hex4ff5dbc

83844540 has 72 divisors (see below), whose sum is σ = 273899808. Its totient is φ = 20638080.

The previous prime is 83844533. The next prime is 83844559. The reversal of 83844540 is 4544838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83844495 and 83844504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15576 + ... + 20255.

It is an arithmetic number, because the mean of its divisors is an integer number (3804164).

Almost surely, 283844540 is an apocalyptic number.

It is an amenable number.

83844540 is an abundant number, since it is smaller than the sum of its proper divisors (190055268).

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

83844540 is a wasteful number, since it uses less digits than its factorization.

83844540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35859 (or 35854 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 83844540 is about 9156.6664239777. Note that the first 3 decimals coincide. The cubic root of 83844540 is about 437.6815725240.

The spelling of 83844540 in words is "eighty-three million, eight hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 35831 71662 107493 143324 179155 214986 322479 358310 429972 465803 537465 644958 716620 931606 1074930 1289916 1397409 1612395 1863212 2149860 2329015 2794818 3224790 4192227 4658030 5589636 6449580 6987045 8384454 9316060 13974090 16768908 20961135 27948180 41922270 83844540