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42066096 = 2431018677
BaseRepresentation
bin1010000001111…
…0000010110000
32221011011211120
42200132002300
541232103341
64101342240
71020361452
oct240360260
987134746
1042066096
1121821976
1212107980
13893b0a7
1458302d2
153a5e066
hex281e0b0

42066096 has 40 divisors (see below), whose sum is σ = 109759344. Its totient is φ = 13881600.

The previous prime is 42066091. The next prime is 42066107. The reversal of 42066096 is 69066024.

It is not an unprimeable number, because it can be changed into a prime (42066091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510 + ... + 9186.

Almost surely, 242066096 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 42066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54879672).

42066096 is an abundant number, since it is smaller than the sum of its proper divisors (67693248).

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

42066096 is a wasteful number, since it uses less digits than its factorization.

42066096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8789 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 42066096 is about 6485.8381108381. The cubic root of 42066096 is about 347.7849113468.

The spelling of 42066096 in words is "forty-two million, sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 8677 17354 26031 34708 52062 69416 104124 138832 208248 416496 876377 1752754 2629131 3505508 5258262 7011016 10516524 14022032 21033048 42066096