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165490432 = 284115767
BaseRepresentation
bin10011101110100…
…10111100000000
3102112101210012021
421313102330000
5314331143212
624231011224
74046434252
oct1167227400
9375353167
10165490432
1185462458
1247509b14
1328393843
1417d9bcd2
15e7de307
hex9dd2f00

165490432 has 36 divisors (see below), whose sum is σ = 338412816. Its totient is φ = 80721920.

The previous prime is 165490417. The next prime is 165490447. The reversal of 165490432 is 234094561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165490417) and next prime (165490447).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2613 + ... + 18379.

It is an arithmetic number, because the mean of its divisors is an integer number (9400356).

Almost surely, 2165490432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169206408).

165490432 is an abundant number, since it is smaller than the sum of its proper divisors (172922384).

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

165490432 is an equidigital number, since it uses as much as digits as its factorization.

165490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15824 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 165490432 is about 12864.3084540134. The cubic root of 165490432 is about 549.0235368469.

The spelling of 165490432 in words is "one hundred sixty-five million, four hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 10496 15767 31534 63068 126136 252272 504544 646447 1009088 1292894 2018176 2585788 4036352 5171576 10343152 20686304 41372608 82745216 165490432