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81828560 = 2451192987
BaseRepresentation
bin1001110000010…
…01101011010000
312200222022200102
410320021223100
5131422003220
612041511532
72012350142
oct470115320
9180868612
1081828560
1142210010
12234a25a8
1313c50788
14ac20c92
1572b5775
hex4e09ad0

81828560 has 40 divisors (see below), whose sum is σ = 207549216. Its totient is φ = 29755520.

The previous prime is 81828553. The next prime is 81828563. The reversal of 81828560 is 6582818.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81828563) 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 7 ways as a sum of consecutive naturals, for example, 45614 + ... + 47373.

Almost surely, 281828560 is an apocalyptic number.

81828560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81828560 is an abundant number, since it is smaller than the sum of its proper divisors (125720656).

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

81828560 is a wasteful number, since it uses less digits than its factorization.

81828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93011 (or 93005 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 81828560 is about 9045.9139947271. The cubic root of 81828560 is about 434.1451658203.

The spelling of 81828560 in words is "eighty-one million, eight hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 92987 185974 371948 464935 743896 929870 1022857 1487792 1859740 2045714 3719480 4091428 5114285 7438960 8182856 10228570 16365712 20457140 40914280 81828560