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82988496 = 2433192103
BaseRepresentation
bin1001111001001…
…00110111010000
312210011020211000
410330210313100
5132221112441
612122422000
72025250653
oct474446720
9183136730
1082988496
1142932538
1223961900
1314268726
14b04389a
1574442b6
hex4f24dd0

82988496 has 40 divisors (see below), whose sum is σ = 238208960. Its totient is φ = 27662688.

The previous prime is 82988471. The next prime is 82988497. The reversal of 82988496 is 69488928.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82988497) by changing a digit.

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, 95620 + ... + 96483.

It is an arithmetic number, because the mean of its divisors is an integer number (5955224).

Almost surely, 282988496 is an apocalyptic number.

It is an amenable number.

82988496 is an abundant number, since it is smaller than the sum of its proper divisors (155220464).

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

82988496 is a wasteful number, since it uses less digits than its factorization.

82988496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192120 (or 192108 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 82988496 is about 9109.8021932422. The cubic root of 82988496 is about 436.1869130975.

The spelling of 82988496 in words is "eighty-two million, nine hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 192103 384206 576309 768412 1152618 1536824 1728927 2305236 3073648 3457854 4610472 5186781 6915708 9220944 10373562 13831416 20747124 27662832 41494248 82988496