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165355264 = 283971627
BaseRepresentation
bin10011101101100…
…01111100000000
3102112010220210001
421312301330000
5314312332024
624224045344
74045332214
oct1166617400
9375126701
10165355264
118537a948
1247463854
1328347169
1417d64944
15e7b4244
hex9db1f00

165355264 has 36 divisors (see below), whose sum is σ = 331099384. Its totient is φ = 82418688.

The previous prime is 165355261. The next prime is 165355291. The reversal of 165355264 is 462553561.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165355261) 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 3 ways as a sum of consecutive naturals, for example, 100819 + ... + 102445.

Almost surely, 2165355264 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 165355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165549692).

165355264 is an abundant number, since it is smaller than the sum of its proper divisors (165744120).

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

165355264 is an equidigital number, since it uses as much as digits as its factorization.

165355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2026 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 165355264 is about 12859.0537754533. The cubic root of 165355264 is about 548.8740203944.

The spelling of 165355264 in words is "one hundred sixty-five million, three hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 397 794 1588 1627 3176 3254 6352 6508 12704 13016 25408 26032 50816 52064 101632 104128 208256 416512 645919 1291838 2583676 5167352 10334704 20669408 41338816 82677632 165355264