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42043032 = 23321493919
BaseRepresentation
bin1010000001100…
…0011010011000
32221010000012100
42200120122120
541230334112
64101043400
71020234303
oct240303230
987100170
1042043032
1121806609
12120b6560
138930745
145825b3a
153a572dc
hex2818698

42043032 has 48 divisors (see below), whose sum is σ = 114660000. Its totient is φ = 13916736.

The previous prime is 42043021. The next prime is 42043033. The reversal of 42043032 is 23034024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42042996 and 42043014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42043033) 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, 8769 + ... + 12687.

It is an arithmetic number, because the mean of its divisors is an integer number (2388750).

Almost surely, 242043032 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 42043032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330000).

42043032 is an abundant number, since it is smaller than the sum of its proper divisors (72616968).

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

42043032 is a wasteful number, since it uses less digits than its factorization.

42043032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42043032 is about 6484.0598393291. The cubic root of 42043032 is about 347.7213385540.

Adding to 42043032 its reverse (23034024), we get a palindrome (65077056).

The spelling of 42043032 in words is "forty-two million, forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 3919 5364 7838 10728 11757 15676 23514 31352 35271 47028 70542 94056 141084 282168 583931 1167862 1751793 2335724 3503586 4671448 5255379 7007172 10510758 14014344 21021516 42043032