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42383432 = 2372138317
BaseRepresentation
bin1010000110101…
…1100001001000
32221202022010202
42201223201020
541322232212
64112231332
71023152600
oct241534110
987668122
1042383432
1121a19333
121223b548
138a1c670
1458b3c00
153ac30c2
hex286b848

42383432 has 48 divisors (see below), whose sum is σ = 99566460. Its totient is φ = 16765056.

The previous prime is 42383377. The next prime is 42383437. The reversal of 42383432 is 23438324.

It can be written as a sum of positive squares in 2 ways, for example, as 41654116 + 729316 = 6454^2 + 854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42383395 and 42383404.

It is not an unprimeable number, because it can be changed into a prime (42383437) 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, 938 + ... + 9254.

Almost surely, 242383432 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 42383432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49783230).

42383432 is an abundant number, since it is smaller than the sum of its proper divisors (57183028).

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

42383432 is a wasteful number, since it uses less digits than its factorization.

42383432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8350 (or 8339 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 42383432 is about 6510.2559089486. The cubic root of 42383432 is about 348.6572552635.

The spelling of 42383432 in words is "forty-two million, three hundred eighty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 8317 16634 33268 58219 66536 108121 116438 216242 232876 407533 432484 465752 756847 815066 864968 1513694 1630132 3027388 3260264 5297929 6054776 10595858 21191716 42383432