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165041442 = 23326311621
BaseRepresentation
bin10011101011001…
…01010100100010
3102111112222022000
421311211110202
5314222311232
624213224430
74042554246
oct1165452442
9374488260
10165041442
1185186095
1247332116
1328267377
1417cc2426
15e75127c
hex9d65522

165041442 has 32 divisors (see below), whose sum is σ = 368184960. Its totient is φ = 54799920.

The previous prime is 165041431. The next prime is 165041447. The reversal of 165041442 is 244140561.

165041442 is a `hidden beast` number, since 1 + 650 + 4 + 1 + 4 + 4 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (165041447) 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 15 ways as a sum of consecutive naturals, for example, 8392 + ... + 20012.

It is an arithmetic number, because the mean of its divisors is an integer number (11505780).

Almost surely, 2165041442 is an apocalyptic number.

165041442 is an abundant number, since it is smaller than the sum of its proper divisors (203143518).

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

165041442 is a wasteful number, since it uses less digits than its factorization.

165041442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11889 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 165041442 is about 12846.8456050503. The cubic root of 165041442 is about 548.5265708646.

The spelling of 165041442 in words is "one hundred sixty-five million, forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 263 526 789 1578 2367 4734 7101 11621 14202 23242 34863 69726 104589 209178 313767 627534 3056323 6112646 9168969 18337938 27506907 55013814 82520721 165041442