Search a number
-
+
42833120 = 2551124337
BaseRepresentation
bin1010001101100…
…1010011100000
32222121010222212
42203121103200
541431124440
64130021252
71030034621
oct243312340
988533885
1042833120
11221a6180
1212417828
138b49255
14598da48
153b61465
hex28d94e0

42833120 has 48 divisors (see below), whose sum is σ = 110397168. Its totient is φ = 15575040.

The previous prime is 42833101. The next prime is 42833123. The reversal of 42833120 is 2133824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42833123) 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 7 ways as a sum of consecutive naturals, for example, 10409 + ... + 13928.

It is an arithmetic number, because the mean of its divisors is an integer number (2299941).

Almost surely, 242833120 is an apocalyptic number.

42833120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42833120 is an abundant number, since it is smaller than the sum of its proper divisors (67564048).

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

42833120 is a wasteful number, since it uses less digits than its factorization.

42833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24363 (or 24355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42833120 is about 6544.7016738733. The cubic root of 42833120 is about 349.8860036913.

Adding to 42833120 its reverse (2133824), we get a palindrome (44966944).

The spelling of 42833120 in words is "forty-two million, eight hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 24337 48674 97348 121685 194696 243370 267707 389392 486740 535414 778784 973480 1070828 1338535 1946960 2141656 2677070 3893920 4283312 5354140 8566624 10708280 21416560 42833120