Search a number
-
+
42719796 = 22327169523
BaseRepresentation
bin1010001011110…
…1101000110100
32222101101112200
42202331220310
541414013141
64123344500
71026053340
oct242755064
988341480
1042719796
1122129019
1212382130
138b097b2
145960620
153b3cab6
hex28bda34

42719796 has 36 divisors (see below), whose sum is σ = 123413472. Its totient is φ = 12205584.

The previous prime is 42719783. The next prime is 42719797. The reversal of 42719796 is 69791724.

42719796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42719797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84510 + ... + 85013.

It is an arithmetic number, because the mean of its divisors is an integer number (3428152).

Almost surely, 242719796 is an apocalyptic number.

It is an amenable number.

42719796 is an abundant number, since it is smaller than the sum of its proper divisors (80693676).

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

42719796 is a wasteful number, since it uses less digits than its factorization.

42719796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169540 (or 169535 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 42719796 is about 6536.0382495821. The cubic root of 42719796 is about 349.5771655706.

The spelling of 42719796 in words is "forty-two million, seven hundred nineteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 169523 339046 508569 678092 1017138 1186661 1525707 2034276 2373322 3051414 3559983 4746644 6102828 7119966 10679949 14239932 21359898 42719796