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168082824 = 23371376961
BaseRepresentation
bin10100000010010…
…11110110001000
3102201021111021210
422001023312020
5321012122244
624402333120
74110452250
oct1201136610
9381244253
10168082824
1186973128
124835a1a0
1328a907c0
1418474960
15eb524b9
hexa04bd88

168082824 has 64 divisors (see below), whose sum is σ = 517184640. Its totient is φ = 44328960.

The previous prime is 168082801. The next prime is 168082841. The reversal of 168082824 is 428280861.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 36297 + ... + 40664.

It is an arithmetic number, because the mean of its divisors is an integer number (8081010).

Almost surely, 2168082824 is an apocalyptic number.

168082824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

168082824 is an abundant number, since it is smaller than the sum of its proper divisors (349101816).

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

168082824 is a wasteful number, since it uses less digits than its factorization.

168082824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76990 (or 76986 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 168082824 is about 12964.6760082927. The cubic root of 168082824 is about 551.8754970204.

The spelling of 168082824 in words is "one hundred sixty-eight million, eighty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 76961 153922 230883 307844 461766 538727 615688 923532 1000493 1077454 1616181 1847064 2000986 2154908 3001479 3232362 4001972 4309816 6002958 6464724 7003451 8003944 12005916 12929448 14006902 21010353 24011832 28013804 42020706 56027608 84041412 168082824