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164824736 = 255150773
BaseRepresentation
bin10011101001100…
…00011010100000
3102111010222000212
421310300122200
5314143342421
624204433252
74040662406
oct1164603240
9374128025
10164824736
118504829a
1247248828
13281bc83b
1417c67476
15e70be5b
hex9d306a0

164824736 has 12 divisors (see below), whose sum is σ = 324498762. Its totient is φ = 82412352.

The previous prime is 164824733. The next prime is 164824747. The reversal of 164824736 is 637428461.

164824736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109411600 + 55413136 = 10460^2 + 7444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164824693 and 164824702.

It is not an unprimeable number, because it can be changed into a prime (164824733) 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 as a sum of consecutive naturals, namely, 2575355 + ... + 2575418.

Almost surely, 2164824736 is an apocalyptic number.

164824736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164824736 is a deficient number, since it is larger than the sum of its proper divisors (159674026).

164824736 is an equidigital number, since it uses as much as digits as its factorization.

164824736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150783 (or 5150775 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 164824736 is about 12838.4086241247. The cubic root of 164824736 is about 548.2863866172.

The spelling of 164824736 in words is "one hundred sixty-four million, eight hundred twenty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 5150773 10301546 20603092 41206184 82412368 164824736