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165112444 = 22759891123
BaseRepresentation
bin10011101011101…
…10101001111100
3102111200120200201
421311312221330
5314232044234
624214533244
74043301250
oct1165665174
9374616621
10165112444
1185224472
1247367224
1328290793
1417d00260
15e767314
hex9d76a7c

165112444 has 48 divisors (see below), whose sum is σ = 339897600. Its totient is φ = 68720256.

The previous prime is 165112439. The next prime is 165112447. The reversal of 165112444 is 444211561.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (3840) is a multiple of the sum of its prime divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165112447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146467 + ... + 147589.

It is an arithmetic number, because the mean of its divisors is an integer number (7081200).

Almost surely, 2165112444 is an apocalyptic number.

165112444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165112444 is an abundant number, since it is smaller than the sum of its proper divisors (174785156).

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

165112444 is a wasteful number, since it uses less digits than its factorization.

165112444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 165112444 is about 12849.6087099958. The cubic root of 165112444 is about 548.6052195956.

The spelling of 165112444 in words is "one hundred sixty-five million, one hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 59 89 118 178 236 356 413 623 826 1123 1246 1652 2246 2492 4492 5251 7861 10502 15722 21004 31444 36757 66257 73514 99947 132514 147028 199894 265028 399788 463799 699629 927598 1399258 1855196 2798516 5896873 11793746 23587492 41278111 82556222 165112444