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81337152 = 2631332587
BaseRepresentation
bin1001101100100…
…01101101000000
312200001100121010
410312101231000
5131310242102
612023200520
72005232361
oct466215500
9180040533
1081337152
1141a04896
12232a6140
1313b0abc0
14ab33b68
157219d6c
hex4d91b40

81337152 has 56 divisors (see below), whose sum is σ = 231765856. Its totient is φ = 25026048.

The previous prime is 81337133. The next prime is 81337181. The reversal of 81337152 is 25173318.

It is a super-2 number, since 2×813371522 = 13231464590942208, which contains 22 as substring.

It is a congruent number.

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, 13798 + ... + 18789.

It is an arithmetic number, because the mean of its divisors is an integer number (4138676).

Almost surely, 281337152 is an apocalyptic number.

It is an amenable number.

81337152 is an abundant number, since it is smaller than the sum of its proper divisors (150428704).

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

81337152 is a wasteful number, since it uses less digits than its factorization.

81337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32615 (or 32605 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 81337152 is about 9018.7112161328. The cubic root of 81337152 is about 433.2743577859.

The spelling of 81337152 in words is "eighty-one million, three hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 32587 65174 97761 130348 195522 260696 391044 423631 521392 782088 847262 1042784 1270893 1564176 1694524 2085568 2541786 3128352 3389048 5083572 6256704 6778096 10167144 13556192 20334288 27112384 40668576 81337152