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81931416 = 23371732819
BaseRepresentation
bin1001110001000…
…10110010011000
312201011112202220
410320202302120
5131433301131
612044024040
72013256050
oct470426230
9181145686
1081931416
1142280316
1223532020
1313c88538
14ac4a560
1572d5e96
hex4e22c98

81931416 has 64 divisors (see below), whose sum is σ = 235526400. Its totient is φ = 23265408.

The previous prime is 81931411. The next prime is 81931427. The reversal of 81931416 is 61413918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81931411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27655 + ... + 30473.

It is an arithmetic number, because the mean of its divisors is an integer number (3680100).

Almost surely, 281931416 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 81931416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117763200).

81931416 is an abundant number, since it is smaller than the sum of its proper divisors (153594984).

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

81931416 is a wasteful number, since it uses less digits than its factorization.

81931416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3004 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 81931416 is about 9051.5974280786. The cubic root of 81931416 is about 434.3269920616.

The spelling of 81931416 in words is "eighty-one million, nine hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 2819 3633 4152 4844 5638 7266 8457 9688 11276 14532 16914 19733 22552 29064 33828 39466 59199 67656 78932 118398 157864 236796 473592 487687 975374 1463061 1950748 2926122 3413809 3901496 5852244 6827618 10241427 11704488 13655236 20482854 27310472 40965708 81931416