Search a number
-
+
42833792 = 271632053
BaseRepresentation
bin1010001101100…
…1011110000000
32222121011220202
42203121132000
541431140132
64130024332
71030036601
oct243313600
988534822
1042833792
11221a6731
12124180a8
138b49651
14598dda8
153b61762
hex28d9780

42833792 has 32 divisors (see below), whose sum is σ = 85898280. Its totient is φ = 21275136.

The previous prime is 42833789. The next prime is 42833821. The reversal of 42833792 is 29733824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 19838 + ... + 21890.

Almost surely, 242833792 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 42833792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42949140).

42833792 is an abundant number, since it is smaller than the sum of its proper divisors (43064488).

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

42833792 is a wasteful number, since it uses less digits than its factorization.

42833792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2218 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 42833792 is about 6544.7530129104. The cubic root of 42833792 is about 349.8878334449.

The spelling of 42833792 in words is "forty-two million, eight hundred thirty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 163 326 652 1304 2053 2608 4106 5216 8212 10432 16424 20864 32848 65696 131392 262784 334639 669278 1338556 2677112 5354224 10708448 21416896 42833792