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165241472 = 2711247227
BaseRepresentation
bin10011101100101…
…10001010000000
3102111221010200112
421312112022000
5314300211342
624221410452
74044346364
oct1166261200
9374833615
10165241472
1185302400
1247409a28
1328307426
1417d352a4
15e790682
hex9d96280

165241472 has 96 divisors (see below), whose sum is σ = 371165760. Its totient is φ = 73187840.

The previous prime is 165241471. The next prime is 165241481. The reversal of 165241472 is 274142561.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (165241471) 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, 727823 + ... + 728049.

It is an arithmetic number, because the mean of its divisors is an integer number (3866310).

Almost surely, 2165241472 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 165241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185582880).

165241472 is an abundant number, since it is smaller than the sum of its proper divisors (205924288).

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

165241472 is a wasteful number, since it uses less digits than its factorization.

165241472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 165241472 is about 12854.6284271464. The cubic root of 165241472 is about 548.7480858791.

The spelling of 165241472 in words is "one hundred sixty-five million, two hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 121 128 176 188 227 242 352 376 454 484 517 704 752 908 968 1034 1408 1504 1816 1936 2068 2497 3008 3632 3872 4136 4994 5687 6016 7264 7744 8272 9988 10669 11374 14528 15488 16544 19976 21338 22748 27467 29056 33088 39952 42676 45496 54934 66176 79904 85352 90992 109868 117359 159808 170704 181984 219736 234718 319616 341408 363968 439472 469436 682816 727936 878944 938872 1290949 1365632 1757888 1877744 2581898 3515776 3755488 5163796 7510976 10327592 15021952 20655184 41310368 82620736 165241472