Search a number
-
+
42729104 = 2411242779
BaseRepresentation
bin1010001011111…
…1111010010000
32222101212022102
42202333322100
541414312404
64123455532
71026122435
oct242777220
988355272
1042729104
1122135010
12123875a8
138b10ac2
145963b8c
153b4071e
hex28bfe90

42729104 has 20 divisors (see below), whose sum is σ = 90314160. Its totient is φ = 19422240.

The previous prime is 42729083. The next prime is 42729107. The reversal of 42729104 is 40192724.

It is not an unprimeable number, because it can be changed into a prime (42729107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121214 + ... + 121565.

It is an arithmetic number, because the mean of its divisors is an integer number (4515708).

Almost surely, 242729104 is an apocalyptic number.

42729104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42729104 is an abundant number, since it is smaller than the sum of its proper divisors (47585056).

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

42729104 is a wasteful number, since it uses less digits than its factorization.

42729104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242798 (or 242792 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 42729104 is about 6536.7502629365. The cubic root of 42729104 is about 349.6025529263.

It can be divided in two parts, 4 and 2729104, that multiplied together give a square (10916416 = 33042).

The spelling of 42729104 in words is "forty-two million, seven hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 242779 485558 971116 1942232 2670569 3884464 5341138 10682276 21364552 42729104