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82156096 = 261121032
BaseRepresentation
bin1001110010110…
…01101001000000
312201120221222101
410321121221000
5132012443341
612052520144
72015213101
oct471315100
9181527871
1082156096
1142414100
1223620054
1314036899
14aca83a8
15732c831
hex4e59a40

82156096 has 63 divisors (see below), whose sum is σ = 180953283. Its totient is φ = 36981120.

The previous prime is 82156093. The next prime is 82156103. The reversal of 82156096 is 69065128.

The square root of 82156096 is 9064.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×821560962 = 13499248219922432, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82156093) 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 8 ways as a sum of consecutive naturals, for example, 797581 + ... + 797683.

Almost surely, 282156096 is an apocalyptic number.

82156096 is the 9064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82156096

82156096 is an abundant number, since it is smaller than the sum of its proper divisors (98797187).

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

82156096 is a wasteful number, since it uses less digits than its factorization.

82156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 82156096 is about 434.7236470816.

The spelling of 82156096 in words is "eighty-two million, one hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 121 176 206 242 352 412 484 704 824 968 1133 1648 1936 2266 3296 3872 4532 6592 7744 9064 10609 12463 18128 21218 24926 36256 42436 49852 72512 84872 99704 116699 169744 199408 233398 339488 398816 466796 678976 797632 933592 1283689 1867184 2567378 3734368 5134756 7468736 10269512 20539024 41078048 82156096