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81959616 = 2632197489
BaseRepresentation
bin1001110001010…
…01101011000000
312201012222110100
410320221223000
5131440201431
612044402400
72013434214
oct470515300
9181188410
1081959616
114229a522
1223546400
1313c9831b
14ac56944
1572de4e6
hex4e29ac0

81959616 has 84 divisors (see below), whose sum is σ = 247319800. Its totient is φ = 25878528.

The previous prime is 81959611. The next prime is 81959617. The reversal of 81959616 is 61695918.

It is not an unprimeable number, because it can be changed into a prime (81959611) 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 11 ways as a sum of consecutive naturals, for example, 7200 + ... + 14688.

Almost surely, 281959616 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 81959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123659900).

81959616 is an abundant number, since it is smaller than the sum of its proper divisors (165360184).

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

81959616 is a wasteful number, since it uses less digits than its factorization.

81959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7513 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 81959616 is about 9053.1550301539. The cubic root of 81959616 is about 434.3768167272.

The spelling of 81959616 in words is "eighty-one million, nine hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 7489 10944 14978 22467 29956 44934 59912 67401 89868 119824 134802 142291 179736 239648 269604 284582 359472 426873 479296 539208 569164 718944 853746 1078416 1138328 1280619 1437888 1707492 2156832 2276656 2561238 3414984 4313664 4553312 5122476 6829968 9106624 10244952 13659936 20489904 27319872 40979808 81959616