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82234816 = 2631181229
BaseRepresentation
bin1001110011011…
…00110111000000
312201201221221221
410321230313000
5132023003231
612054324424
72015661436
oct471546700
9181657857
1082234816
1142468264
1223659714
1314063671
14acc8d56
157345d11
hex4e6cdc0

82234816 has 56 divisors (see below), whose sum is σ = 170119040. Its totient is φ = 39398400.

The previous prime is 82234781. The next prime is 82234829. The reversal of 82234816 is 61843228.

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 7 ways as a sum of consecutive naturals, for example, 358990 + ... + 359218.

It is an arithmetic number, because the mean of its divisors is an integer number (3037840).

Almost surely, 282234816 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 82234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85059520).

82234816 is an abundant number, since it is smaller than the sum of its proper divisors (87884224).

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

82234816 is a wasteful number, since it uses less digits than its factorization.

82234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 82234816 is about 9068.3414139522. The cubic root of 82234816 is about 434.8624500145.

The spelling of 82234816 in words is "eighty-two million, two hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 181 229 248 362 458 496 724 916 992 1448 1832 1984 2896 3664 5611 5792 7099 7328 11222 11584 14198 14656 22444 28396 41449 44888 56792 82898 89776 113584 165796 179552 227168 331592 359104 454336 663184 1284919 1326368 2569838 2652736 5139676 10279352 20558704 41117408 82234816