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81833332 = 22723591163
BaseRepresentation
bin1001110000010…
…10110101110100
312200222120020011
410320022311310
5131422131312
612041550004
72012400100
oct470126564
9180876204
1081833332
1142213659
12234a5304
1313c529b9
14ac22900
1572b6da7
hex4e0ad74

81833332 has 36 divisors (see below), whose sum is σ = 167196960. Its totient is φ = 34943664.

The previous prime is 81833321. The next prime is 81833341. The reversal of 81833332 is 23333818.

It is a junction number, because it is equal to n+sod(n) for n = 81833294 and 81833303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69783 + ... + 70945.

It is an arithmetic number, because the mean of its divisors is an integer number (4644360).

Almost surely, 281833332 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 81833332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83598480).

81833332 is an abundant number, since it is smaller than the sum of its proper divisors (85363628).

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

81833332 is a wasteful number, since it uses less digits than its factorization.

81833332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1531 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 81833332 is about 9046.1777563787. The cubic root of 81833332 is about 434.1536050110.

The spelling of 81833332 in words is "eighty-one million, eight hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 359 718 1163 1436 2326 2513 4652 5026 8141 10052 16282 17591 32564 35182 56987 70364 113974 227948 417517 835034 1670068 2922619 5845238 11690476 20458333 40916666 81833332