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81648096 = 2538310247
BaseRepresentation
bin1001101110111…
…01100111100000
312200122011010120
410313131213200
5131400214341
612034000240
72010666045
oct467354740
9180564116
1081648096
11420a7472
1223416080
1313bb95aa
14abb51cc
15727c066
hex4ddd9e0

81648096 has 48 divisors (see below), whose sum is σ = 216929664. Its totient is φ = 26885504.

The previous prime is 81648089. The next prime is 81648109. The reversal of 81648096 is 69084618.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 2845 + ... + 13091.

It is an arithmetic number, because the mean of its divisors is an integer number (4519368).

Almost surely, 281648096 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 81648096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108464832).

81648096 is an abundant number, since it is smaller than the sum of its proper divisors (135281568).

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

81648096 is a wasteful number, since it uses less digits than its factorization.

81648096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10335 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 81648096 is about 9035.9335986936. The cubic root of 81648096 is about 433.8257775791.

The spelling of 81648096 in words is "eighty-one million, six hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 10247 20494 30741 40988 61482 81976 122964 163952 245928 327904 491856 850501 983712 1701002 2551503 3402004 5103006 6804008 10206012 13608016 20412024 27216032 40824048 81648096