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81832704 = 283127839
BaseRepresentation
bin1001110000010…
…10101100000000
312200222112100220
410320022230000
5131422121304
612041543040
72012365212
oct470125400
9180875326
1081832704
1142213138
12234a4a80
1313c52625
14ac225b2
1572b6ad9
hex4e0ab00

81832704 has 72 divisors (see below), whose sum is σ = 219770880. Its totient is φ = 27030528.

The previous prime is 81832697. The next prime is 81832711. The reversal of 81832704 is 40723818.

It is an interprime number because it is at equal distance from previous prime (81832697) and next prime (81832711).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97117 + ... + 97955.

Almost surely, 281832704 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 81832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885440).

81832704 is an abundant number, since it is smaller than the sum of its proper divisors (137938176).

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

81832704 is a wasteful number, since it uses less digits than its factorization.

81832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 81832704 is about 9046.1430455195. The cubic root of 81832704 is about 434.1524944237.

The spelling of 81832704 in words is "eighty-one million, eight hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 839 1016 1524 1678 2032 2517 3048 3356 4064 5034 6096 6712 8128 10068 12192 13424 16256 20136 24384 26848 32512 40272 48768 53696 80544 97536 106553 107392 161088 213106 214784 319659 322176 426212 639318 644352 852424 1278636 1704848 2557272 3409696 5114544 6819392 10229088 13638784 20458176 27277568 40916352 81832704