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42660032 = 262373397
BaseRepresentation
bin1010001010111…
…1000011000000
32222021100120012
42202233003000
541410110112
64122204052
71025414162
oct242570300
988240505
1042660032
1122098128
1212353628
138ab852c
145946932
153b2a022
hex28af0c0

42660032 has 56 divisors (see below), whose sum is σ = 89769696. Its totient is φ = 20072448.

The previous prime is 42660031. The next prime is 42660053. The reversal of 42660032 is 23006624.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42660031) 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, 107258 + ... + 107654.

Almost surely, 242660032 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 42660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44884848).

42660032 is an abundant number, since it is smaller than the sum of its proper divisors (47109664).

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

42660032 is a wasteful number, since it uses less digits than its factorization.

42660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 42660032 is about 6531.4647668038. The cubic root of 42660032 is about 349.4140727207.

Adding to 42660032 its reverse (23006624), we get a palindrome (65666656).

The spelling of 42660032 in words is "forty-two million, six hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 146 184 292 368 397 584 736 794 1168 1472 1588 1679 2336 3176 3358 4672 6352 6716 9131 12704 13432 18262 25408 26864 28981 36524 53728 57962 73048 107456 115924 146096 231848 292192 463696 584384 666563 927392 1333126 1854784 2666252 5332504 10665008 21330016 42660032