Search a number
-
+
42933384 = 23321345869
BaseRepresentation
bin1010001111000…
…1110010001000
32222210020112100
42203301302020
541442332014
64132113400
71030633134
oct243616210
988706470
1042933384
112226453a
1212465860
138b82a90
1459b83c4
153b81009
hex28f1c88

42933384 has 48 divisors (see below), whose sum is σ = 125225100. Its totient is φ = 13209984.

The previous prime is 42933379. The next prime is 42933389. The reversal of 42933384 is 48333924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42933379) and next prime (42933389).

It can be written as a sum of positive squares in 2 ways, for example, as 42536484 + 396900 = 6522^2 + 630^2 .

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 not an unprimeable number, because it can be changed into a prime (42933389) 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 11 ways as a sum of consecutive naturals, for example, 21999 + ... + 23870.

Almost surely, 242933384 is an apocalyptic number.

It is an amenable number.

42933384 is an abundant number, since it is smaller than the sum of its proper divisors (82291716).

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

42933384 is a wasteful number, since it uses less digits than its factorization.

42933384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45894 (or 45887 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 42933384 is about 6552.3571331239. The cubic root of 42933384 is about 350.1587959701.

The spelling of 42933384 in words is "forty-two million, nine hundred thirty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 45869 91738 137607 183476 275214 366952 412821 550428 596297 825642 1100856 1192594 1651284 1788891 2385188 3302568 3577782 4770376 5366673 7155564 10733346 14311128 21466692 42933384