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82317152 = 253182981
BaseRepresentation
bin1001110100000…
…00111101100000
312201220010220102
410322000331200
5132033122102
612100201532
72016453461
oct472007540
9181803812
1082317152
1142514105
12236992a8
1314091c98
14ad0ad68
157360402
hex4e80f60

82317152 has 24 divisors (see below), whose sum is σ = 167291712. Its totient is φ = 39830400.

The previous prime is 82317143. The next prime is 82317173. The reversal of 82317152 is 25171328.

It is a super-2 number, since 2×823171522 = 13552227026782208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 40499 + ... + 42482.

It is an arithmetic number, because the mean of its divisors is an integer number (6970488).

Almost surely, 282317152 is an apocalyptic number.

It is an amenable number.

82317152 is an abundant number, since it is smaller than the sum of its proper divisors (84974560).

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

82317152 is a wasteful number, since it uses less digits than its factorization.

82317152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83022 (or 83014 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 82317152 is about 9072.8800278633. The cubic root of 82317152 is about 435.0075341101.

The spelling of 82317152 in words is "eighty-two million, three hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 82981 165962 331924 663848 1327696 2572411 2655392 5144822 10289644 20579288 41158576 82317152