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42909084 = 22323138449
BaseRepresentation
bin1010001110101…
…1110110011100
32222202000012100
42203223312130
541441042314
64131405100
71030502241
oct243536634
988660170
1042909084
1122248259
1212453790
138b749ba
1459ad5c8
153b78c09
hex28ebd9c

42909084 has 36 divisors (see below), whose sum is σ = 111966400. Its totient is φ = 13841280.

The previous prime is 42909043. The next prime is 42909089. The reversal of 42909084 is 48090924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42909089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18109 + ... + 20340.

Almost surely, 242909084 is an apocalyptic number.

It is an amenable number.

42909084 is an abundant number, since it is smaller than the sum of its proper divisors (69057316).

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

42909084 is a wasteful number, since it uses less digits than its factorization.

42909084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38490 (or 38485 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42909084 is about 6550.5025761387. The cubic root of 42909084 is about 350.0927210127.

The spelling of 42909084 in words is "forty-two million, nine hundred nine thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 38449 76898 115347 153796 230694 346041 461388 692082 1191919 1384164 2383838 3575757 4767676 7151514 10727271 14303028 21454542 42909084