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81933216 = 2536531307
BaseRepresentation
bin1001110001000…
…11001110100000
312201011122020120
410320203032200
5131433330331
612044040240
72013264231
oct470431640
9181148216
1081933216
1142281702
1223533080
1313c892c1
14ac4b088
1572d6796
hex4e233a0

81933216 has 48 divisors (see below), whose sum is σ = 215568864. Its totient is φ = 27248384.

The previous prime is 81933197. The next prime is 81933233. The reversal of 81933216 is 61233918.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 62035 + ... + 63341.

It is an arithmetic number, because the mean of its divisors is an integer number (4491018).

Almost surely, 281933216 is an apocalyptic number.

It is an amenable number.

81933216 is an abundant number, since it is smaller than the sum of its proper divisors (133635648).

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

81933216 is a wasteful number, since it uses less digits than its factorization.

81933216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 81933216 is about 9051.6968574958. The cubic root of 81933216 is about 434.3301727009.

The spelling of 81933216 in words is "eighty-one million, nine hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 653 1306 1307 1959 2612 2614 3918 3921 5224 5228 7836 7842 10448 10456 15672 15684 20896 20912 31344 31368 41824 62688 62736 125472 853471 1706942 2560413 3413884 5120826 6827768 10241652 13655536 20483304 27311072 40966608 81933216