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42044432 = 2429313779
BaseRepresentation
bin1010000001100…
…0110000010000
32221010002010012
42200120300100
541230410212
64101054052
71020241343
oct240306020
987102105
1042044432
1121807671
12120b7328
138931281
14582645a
153a57922
hex2818c10

42044432 has 80 divisors (see below), whose sum is σ = 90470400. Its totient is φ = 18869760.

The previous prime is 42044419. The next prime is 42044441. The reversal of 42044432 is 23444024.

It is a junction number, because it is equal to n+sod(n) for n = 42044398 and 42044407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532169 + ... + 532247.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880).

Almost surely, 242044432 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 42044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45235200).

42044432 is an abundant number, since it is smaller than the sum of its proper divisors (48425968).

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

42044432 is a wasteful number, since it uses less digits than its factorization.

42044432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 42044432 is about 6484.1677954846. The cubic root of 42044432 is about 347.7251981272.

Adding to 42044432 its reverse (23444024), we get a palindrome (65488456).

The spelling of 42044432 in words is "forty-two million, forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 37 58 62 74 79 116 124 148 158 232 248 296 316 464 496 592 632 899 1073 1147 1264 1798 2146 2291 2294 2449 2923 3596 4292 4582 4588 4898 5846 7192 8584 9164 9176 9796 11692 14384 17168 18328 18352 19592 23384 33263 36656 39184 46768 66526 71021 84767 90613 133052 142042 169534 181226 266104 284084 339068 362452 532208 568168 678136 724904 1136336 1356272 1449808 2627777 5255554 10511108 21022216 42044432