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81836032 = 211311289
BaseRepresentation
bin1001110000010…
…11100000000000
312200222200221011
410320023200000
5131422223112
612042010304
72012411005
oct470134000
9180880834
1081836032
1142215693
12234a6994
1313c53cb5
14ac238ac
1572b7aa7
hex4e0b800

81836032 has 48 divisors (see below), whose sum is σ = 169041600. Its totient is φ = 39567360.

The previous prime is 81836017. The next prime is 81836039. The reversal of 81836032 is 23063818.

It is a super-2 number, since 2×818360322 = 13394272267010048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 81835985 and 81836003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81836039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62844 + ... + 64132.

It is an arithmetic number, because the mean of its divisors is an integer number (3521700).

Almost surely, 281836032 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 81836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84520800).

81836032 is an abundant number, since it is smaller than the sum of its proper divisors (87205568).

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

81836032 is a wasteful number, since it uses less digits than its factorization.

81836032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 81836032 is about 9046.3269894472. The cubic root of 81836032 is about 434.1583797640.

The spelling of 81836032 in words is "eighty-one million, eight hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1289 1984 2048 2578 3968 5156 7936 10312 15872 20624 31744 39959 41248 63488 79918 82496 159836 164992 319672 329984 639344 659968 1278688 1319936 2557376 2639872 5114752 10229504 20459008 40918016 81836032