Search a number
-
+
42383232 = 273236791
BaseRepresentation
bin1010000110101…
…1011110000000
32221202021212100
42201223132000
541322230412
64112230400
71023152163
oct241533600
987667770
1042383232
1121a19171
121223b400
138a1c548
1458b3ada
153ac2edc
hex286b780

42383232 has 48 divisors (see below), whose sum is σ = 121965480. Its totient is φ = 14127360.

The previous prime is 42383213. The next prime is 42383269. The reversal of 42383232 is 23238324.

42383232 is a `hidden beast` number, since 423 + 8 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 42383196 and 42383205.

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 5 ways as a sum of consecutive naturals, for example, 17244 + ... + 19547.

Almost surely, 242383232 is an apocalyptic number.

It is an amenable number.

42383232 is an abundant number, since it is smaller than the sum of its proper divisors (79582248).

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

42383232 is a wasteful number, since it uses less digits than its factorization.

42383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36811 (or 36796 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 42383232 is about 6510.2405485512. The cubic root of 42383232 is about 348.6567068451.

The spelling of 42383232 in words is "forty-two million, three hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 36791 73582 110373 147164 220746 294328 331119 441492 588656 662238 882984 1177312 1324476 1765968 2354624 2648952 3531936 4709248 5297904 7063872 10595808 14127744 21191616 42383232