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42291832 = 23111134253
BaseRepresentation
bin1010000101010…
…1001001111000
32221120122111011
42201111021320
541311314312
64110243304
71022321542
oct241251170
987518434
1042291832
1121966530
12121b6534
1389b9a6b
14588c692
153aa5da7
hex2855278

42291832 has 32 divisors (see below), whose sum is σ = 87292080. Its totient is φ = 19048960.

The previous prime is 42291811. The next prime is 42291839. The reversal of 42291832 is 23819224.

It is a junction number, because it is equal to n+sod(n) for n = 42291794 and 42291803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42291839) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7818 + ... + 12070.

Almost surely, 242291832 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 42291832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43646040).

42291832 is an abundant number, since it is smaller than the sum of its proper divisors (45000248).

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

42291832 is a wasteful number, since it uses less digits than its factorization.

42291832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4379 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 42291832 is about 6503.2170500453. The cubic root of 42291832 is about 348.4058988695.

The spelling of 42291832 in words is "forty-two million, two hundred ninety-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 113 226 452 904 1243 2486 4253 4972 8506 9944 17012 34024 46783 93566 187132 374264 480589 961178 1922356 3844712 5286479 10572958 21145916 42291832