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42075184 = 2431412069
BaseRepresentation
bin1010000010000…
…0010000110000
32221011122022011
42200200100300
541232401214
64101452304
71020430114
oct240402060
987148264
1042075184
1121828788
1212111094
138942278
145833744
153a61ac4
hex2820430

42075184 has 40 divisors (see below), whose sum is σ = 86244480. Its totient is φ = 19852800.

The previous prime is 42075151. The next prime is 42075197. The reversal of 42075184 is 48157024.

It is a super-2 number, since 2×420751842 = 3540642217267712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19302 + ... + 21370.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 242075184 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 42075184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43122240).

42075184 is an abundant number, since it is smaller than the sum of its proper divisors (44169296).

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

42075184 is a wasteful number, since it uses less digits than its factorization.

42075184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 42075184 is about 6486.5386763666. The cubic root of 42075184 is about 347.8099548062.

The spelling of 42075184 in words is "forty-two million, seventy-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 2069 2542 4138 5084 8276 10168 16552 20336 33104 64139 84829 128278 169658 256556 339316 513112 678632 1026224 1357264 2629699 5259398 10518796 21037592 42075184