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80851840 = 2751961109
BaseRepresentation
bin1001101000110…
…11001110000000
312122010200212121
410310123032000
5131144224330
612004534024
72001141436
oct464331600
9178120777
1080851840
1141703203
12230b1314
131399b034
14aa48d56
15717117a
hex4d1b380

80851840 has 128 divisors (see below), whose sum is σ = 208692000. Its totient is φ = 29859840.

The previous prime is 80851817. The next prime is 80851843. The reversal of 80851840 is 4815808.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80851796 and 80851805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80851843) 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 15 ways as a sum of consecutive naturals, for example, 741706 + ... + 741814.

Almost surely, 280851840 is an apocalyptic number.

80851840 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 80851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104346000).

80851840 is an abundant number, since it is smaller than the sum of its proper divisors (127840160).

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

80851840 is a wasteful number, since it uses less digits than its factorization.

80851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 80851840 is about 8991.7651214875. The cubic root of 80851840 is about 432.4109030498.

The spelling of 80851840 in words is "eighty million, eight hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 61 64 76 80 95 109 122 128 152 160 190 218 244 304 305 320 380 436 488 545 608 610 640 760 872 976 1090 1159 1216 1220 1520 1744 1952 2071 2180 2318 2432 2440 3040 3488 3904 4142 4360 4636 4880 5795 6080 6649 6976 7808 8284 8720 9272 9760 10355 11590 12160 13298 13952 16568 17440 18544 19520 20710 23180 26596 33136 33245 34880 37088 39040 41420 46360 53192 66272 66490 69760 74176 82840 92720 106384 126331 132544 132980 148352 165680 185440 212768 252662 265088 265960 331360 370880 425536 505324 531920 631655 662720 741760 851072 1010648 1063840 1263310 1325440 2021296 2127680 2526620 4042592 4255360 5053240 8085184 10106480 16170368 20212960 40425920 80851840