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42034132 = 22717233379
BaseRepresentation
bin1010000001011…
…0001111010100
32221002112222201
42200112033110
541230043012
64100534244
71020166330
oct240261724
987075881
1042034132
11217aa958
12120b1384
13892968a
1458227c0
153a54857
hex28163d4

42034132 has 48 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 16837632.

The previous prime is 42034129. The next prime is 42034147. The reversal of 42034132 is 23143024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110719 + ... + 111097.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 242034132 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 42034132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

42034132 is an abundant number, since it is smaller than the sum of its proper divisors (47597228).

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

42034132 is a wasteful number, since it uses less digits than its factorization.

42034132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 42034132 is about 6483.3735045885. The cubic root of 42034132 is about 347.6968006924.

Adding to 42034132 its reverse (23143024), we get a palindrome (65177156).

The spelling of 42034132 in words is "forty-two million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 233 238 379 466 476 758 932 1516 1631 2653 3262 3961 5306 6443 6524 7922 10612 12886 15844 25772 27727 45101 55454 88307 90202 110908 176614 180404 353228 618149 1236298 1501219 2472596 3002438 6004876 10508533 21017066 42034132