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42328944 = 243273857
BaseRepresentation
bin1010000101111…
…0001101110000
32221122112101200
42201132031300
541314011234
64111131200
71022535000
oct241361560
987575350
1042328944
11219913a9
1212213b00
138a00918
14589c000
153ab1d99
hex285e370

42328944 has 120 divisors (see below), whose sum is σ = 138309600. Its totient is φ = 12079872.

The previous prime is 42328939. The next prime is 42328967. The reversal of 42328944 is 44982324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42328899 and 42328908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48964 + ... + 49820.

It is an arithmetic number, because the mean of its divisors is an integer number (1152580).

Almost surely, 242328944 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 42328944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69154800).

42328944 is an abundant number, since it is smaller than the sum of its proper divisors (95980656).

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

42328944 is a wasteful number, since it uses less digits than its factorization.

42328944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 869 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42328944 is about 6506.0697813657. The cubic root of 42328944 is about 348.5077803189.

The spelling of 42328944 in words is "forty-two million, three hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 857 882 1008 1029 1176 1372 1714 1764 2058 2352 2571 2744 3087 3428 3528 4116 5142 5488 5999 6174 6856 7056 7713 8232 10284 11998 12348 13712 15426 16464 17997 20568 23996 24696 30852 35994 41136 41993 47992 49392 53991 61704 71988 83986 95984 107982 123408 125979 143976 167972 215964 251958 287952 293951 335944 377937 431928 503916 587902 671888 755874 863856 881853 1007832 1175804 1511748 1763706 2015664 2351608 2645559 3023496 3527412 4703216 5291118 6046992 7054824 10582236 14109648 21164472 42328944