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168924465 = 3253753877
BaseRepresentation
bin10100001000110…
…01010100110001
3102202212020210200
422010121110301
5321221040330
624432345413
74120556103
oct1204312461
9382766720
10168924465
11873984a6
12486a5269
1328cc6908
1418613573
15ec6ba60
hexa119531

168924465 has 12 divisors (see below), whose sum is σ = 292802484. Its totient is φ = 90093024.

The previous prime is 168924451. The next prime is 168924467. The reversal of 168924465 is 564429861.

168924465 is a `hidden beast` number, since 168 + 9 + 24 + 465 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29778849 + 139145616 = 5457^2 + 11796^2 .

It is not a de Polignac number, because 168924465 - 26 = 168924401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3753877 = 168924465 / (1 + 6 + 8 + 9 + 2 + 4 + 4 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 168924465.

It is not an unprimeable number, because it can be changed into a prime (168924467) 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 11 ways as a sum of consecutive naturals, for example, 1876894 + ... + 1876983.

It is an arithmetic number, because the mean of its divisors is an integer number (24400207).

Almost surely, 2168924465 is an apocalyptic number.

168924465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168924465 is a deficient number, since it is larger than the sum of its proper divisors (123878019).

168924465 is a wasteful number, since it uses less digits than its factorization.

168924465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753888 (or 3753885 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 168924465 is about 12997.0944829989. The cubic root of 168924465 is about 552.7950990722.

The spelling of 168924465 in words is "one hundred sixty-eight million, nine hundred twenty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 3753877 11261631 18769385 33784893 56308155 168924465