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42873192 = 2333732719
BaseRepresentation
bin1010001110001…
…1000101101000
32222200011222000
42203203011220
541433420232
64130531000
71030262505
oct243430550
988604860
1042873192
112222329a
1212436a60
138b6156b
1459a04ac
153b6d27c
hex28e3168

42873192 has 64 divisors (see below), whose sum is σ = 120768000. Its totient is φ = 14090112.

The previous prime is 42873113. The next prime is 42873203. The reversal of 42873192 is 29137824.

It is a super-2 number, since 2×428731922 = 3676221184537728, which contains 22 as substring.

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

It is a zygodrome in base 3.

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, 14409 + ... + 17127.

It is an arithmetic number, because the mean of its divisors is an integer number (1887000).

Almost surely, 242873192 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 42873192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60384000).

42873192 is an abundant number, since it is smaller than the sum of its proper divisors (77894808).

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

42873192 is a wasteful number, since it uses less digits than its factorization.

42873192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2797 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42873192 is about 6547.7623658774. The cubic root of 42873192 is about 349.9950802030.

The spelling of 42873192 in words is "forty-two million, eight hundred seventy-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 2719 3942 5256 5438 7884 8157 10876 15768 16314 21752 24471 32628 48942 65256 73413 97884 146826 195768 198487 293652 396974 587304 595461 793948 1190922 1587896 1786383 2381844 3572766 4763688 5359149 7145532 10718298 14291064 21436596 42873192