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82260608 = 273120731
BaseRepresentation
bin1001110011100…
…11001010000000
312201210021100012
410321303022000
5132024314413
612055044052
72016126563
oct471631200
9181707305
1082260608
1142485681
1223670628
1314072321
14acd44da
15734d7a8
hex4e73280

82260608 has 32 divisors (see below), whose sum is σ = 169173120. Its totient is φ = 39801600.

The previous prime is 82260601. The next prime is 82260613. The reversal of 82260608 is 80606228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (82260601) 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 3 ways as a sum of consecutive naturals, for example, 6398 + ... + 14333.

It is an arithmetic number, because the mean of its divisors is an integer number (5286660).

Almost surely, 282260608 is an apocalyptic number.

It is an amenable number.

82260608 is an abundant number, since it is smaller than the sum of its proper divisors (86912512).

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

82260608 is a wasteful number, since it uses less digits than its factorization.

82260608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20776 (or 20764 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 82260608 is about 9069.7633927242. The cubic root of 82260608 is about 434.9079084569.

The spelling of 82260608 in words is "eighty-two million, two hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 20731 41462 82924 165848 331696 642661 663392 1285322 1326784 2570644 2653568 5141288 10282576 20565152 41130304 82260608