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81934368 = 2532293727
BaseRepresentation
bin1001110001000…
…11100000100000
312201011200211020
410320203200200
5131433344433
612044045440
72013300465
oct470434040
9181150736
1081934368
114228255a
1223533880
1313c89999
14ac4b66c
1572d6cb3
hex4e23820

81934368 has 48 divisors (see below), whose sum is σ = 216074880. Its totient is φ = 27184896.

The previous prime is 81934361. The next prime is 81934399. The reversal of 81934368 is 86343918.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (81934361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20121 + ... + 23847.

It is an arithmetic number, because the mean of its divisors is an integer number (4501560).

Almost surely, 281934368 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 81934368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108037440).

81934368 is an abundant number, since it is smaller than the sum of its proper divisors (134140512).

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

81934368 is a wasteful number, since it uses less digits than its factorization.

81934368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3961 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 81934368 is about 9051.7604917497. The cubic root of 81934368 is about 434.3322082857.

It can be divided in two parts, 8193 and 4368, that added together give a triangular number (12561 = T158).

The spelling of 81934368 in words is "eighty-one million, nine hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 3727 5496 7328 7454 10992 11181 14908 21984 22362 29816 44724 59632 89448 119264 178896 357792 853483 1706966 2560449 3413932 5120898 6827864 10241796 13655728 20483592 27311456 40967184 81934368