Search a number
-
+
42191928 = 233465111
BaseRepresentation
bin1010000011110…
…0110000111000
32221101120110000
42200330300320
541300120203
64104153000
71021424352
oct240746070
987346400
1042191928
11218a8469
1212168760
13898344c
1458640d2
153a864a3
hex283cc38

42191928 has 40 divisors (see below), whose sum is σ = 118178280. Its totient is φ = 14063760.

The previous prime is 42191917. The next prime is 42191957. The reversal of 42191928 is 82919124.

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 = 42191892 and 42191901.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 31908 + ... + 33203.

It is an arithmetic number, because the mean of its divisors is an integer number (2954457).

Almost surely, 242191928 is an apocalyptic number.

It is an amenable number.

42191928 is an abundant number, since it is smaller than the sum of its proper divisors (75986352).

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

42191928 is a wasteful number, since it uses less digits than its factorization.

42191928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65129 (or 65116 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 42191928 is about 6495.5313870383. The cubic root of 42191928 is about 348.1313416240.

The spelling of 42191928 in words is "forty-two million, one hundred ninety-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 65111 130222 195333 260444 390666 520888 585999 781332 1171998 1562664 1757997 2343996 3515994 4687992 5273991 7031988 10547982 14063976 21095964 42191928