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81333152 = 2523591873
BaseRepresentation
bin1001101100100…
…00101110100000
312200001011002222
410312100232200
5131310130102
612023130212
72005214615
oct466205640
9180034088
1081333152
1141a0188a
12232a3968
1313b09134
14ab3250c
157218aa2
hex4d90ba0

81333152 has 48 divisors (see below), whose sum is σ = 170009280. Its totient is φ = 38218752.

The previous prime is 81333103. The next prime is 81333163. The reversal of 81333152 is 25133318.

It is a super-2 number, since 2×813331522 = 13230163228510208, which contains 22 as substring.

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, 42488 + ... + 44360.

It is an arithmetic number, because the mean of its divisors is an integer number (3541860).

Almost surely, 281333152 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 81333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85004640).

81333152 is an abundant number, since it is smaller than the sum of its proper divisors (88676128).

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

81333152 is a wasteful number, since it uses less digits than its factorization.

81333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1957 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 81333152 is about 9018.4894522309. The cubic root of 81333152 is about 433.2672551446.

The spelling of 81333152 in words is "eighty-one million, three hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 472 736 944 1357 1873 1888 2714 3746 5428 7492 10856 14984 21712 29968 43079 43424 59936 86158 110507 172316 221014 344632 442028 689264 884056 1378528 1768112 2541661 3536224 5083322 10166644 20333288 40666576 81333152