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80541864 = 2335133187
BaseRepresentation
bin1001100110011…
…11100010101000
312121112221200000
410303033202220
5131104314424
611554143000
71665410634
oct463174250
9177487600
1080541864
1141511327
1222b81a60
13138bcc10
14a9a7dc4
15710e3c9
hex4ccf8a8

80541864 has 96 divisors (see below), whose sum is σ = 243690720. Its totient is φ = 24774336.

The previous prime is 80541863. The next prime is 80541887. The reversal of 80541864 is 46814508.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80541863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23679 + ... + 26865.

It is an arithmetic number, because the mean of its divisors is an integer number (2538445).

Almost surely, 280541864 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 80541864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121845360).

80541864 is an abundant number, since it is smaller than the sum of its proper divisors (163148856).

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

80541864 is a wasteful number, since it uses less digits than its factorization.

80541864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 80541864 is about 8974.5119087335. The cubic root of 80541864 is about 431.8575919495.

The spelling of 80541864 in words is "eighty million, five hundred forty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 3187 4212 6318 6374 8424 9561 12636 12748 19122 25272 25496 28683 38244 41431 57366 76488 82862 86049 114732 124293 165724 172098 229464 248586 258147 331448 344196 372879 497172 516294 688392 745758 774441 994344 1032588 1118637 1491516 1548882 2065176 2237274 2983032 3097764 3355911 4474548 6195528 6711822 8949096 10067733 13423644 20135466 26847288 40270932 80541864