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84851040 = 2535434111
BaseRepresentation
bin1010000111010…
…11100101100000
312220122212202010
411003223211200
5133210213130
612230352520
72050136061
oct503534540
9186585663
1084851040
114399492a
12244bb740
131476b421
14b3aa568
1576b10b0
hex50eb960

84851040 has 96 divisors (see below), whose sum is σ = 273563136. Its totient is φ = 22095360.

The previous prime is 84851033. The next prime is 84851047. The reversal of 84851040 is 4015848.

It is an interprime number because it is at equal distance from previous prime (84851033) and next prime (84851047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 84850989 and 84851007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84851047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18585 + ... + 22695.

It is an arithmetic number, because the mean of its divisors is an integer number (2849616).

Almost surely, 284851040 is an apocalyptic number.

84851040 is a gapful number since it is divisible by the number (80) 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 84851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136781568).

84851040 is an abundant number, since it is smaller than the sum of its proper divisors (188712096).

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

84851040 is a wasteful number, since it uses less digits than its factorization.

84851040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 84851040 is about 9211.4624246099. The cubic root of 84851040 is about 439.4259732098.

Adding to 84851040 its reverse (4015848), we get a palindrome (88866888).

The spelling of 84851040 in words is "eighty-four million, eight hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4111 4128 5160 6880 8222 10320 12333 16444 20555 20640 24666 32888 41110 49332 61665 65776 82220 98664 123330 131552 164440 176773 197328 246660 328880 353546 394656 493320 530319 657760 707092 883865 986640 1060638 1414184 1767730 1973280 2121276 2651595 2828368 3535460 4242552 5303190 5656736 7070920 8485104 10606380 14141840 16970208 21212760 28283680 42425520 84851040