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84650040 = 23325832833
BaseRepresentation
bin1010000101110…
…10100000111000
312220021200000200
411002322200320
5133132300130
612222202200
72045341056
oct502724070
9186250020
1084650040
1143867912
1224423360
13146caaa7
14b3571d6
157671760
hex50ba838

84650040 has 96 divisors (see below), whose sum is σ = 278525520. Its totient is φ = 22293504.

The previous prime is 84650003. The next prime is 84650047. The reversal of 84650040 is 4005648.

84650040 is a `hidden beast` number, since 8 + 4 + 650 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 84649986 and 84650013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84650047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28464 + ... + 31296.

Almost surely, 284650040 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 84650040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139262760).

84650040 is an abundant number, since it is smaller than the sum of its proper divisors (193875480).

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

84650040 is a wasteful number, since it uses less digits than its factorization.

84650040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84650040 is about 9200.5456359936. The cubic root of 84650040 is about 439.0787197353.

Adding to 84650040 its reverse (4005648), we get a palindrome (88655688).

The spelling of 84650040 in words is "eighty-four million, six hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2833 2988 3320 3735 4980 5666 5976 7470 8499 9960 11332 14165 14940 16998 22664 25497 28330 29880 33996 42495 50994 56660 67992 84990 101988 113320 127485 169980 203976 235139 254970 339960 470278 509940 705417 940556 1019880 1175695 1410834 1881112 2116251 2351390 2821668 3527085 4232502 4702780 5643336 7054170 8465004 9405560 10581255 14108340 16930008 21162510 28216680 42325020 84650040