Search a number
-
+
42772248 = 23322272617
BaseRepresentation
bin1010001100101…
…0011100011000
32222111001111100
42203022130120
541422202443
64124431400
71026362301
oct243123430
988431440
1042772248
1122164472
12123a8560
138b2762c
1459757a8
153b4d3d3
hex28ca718

42772248 has 48 divisors (see below), whose sum is σ = 116396280. Its totient is φ = 14189184.

The previous prime is 42772241. The next prime is 42772271. The reversal of 42772248 is 84227724.

42772248 is a `hidden beast` number, since 427 + 7 + 224 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42772241) 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, 15036 + ... + 17652.

Almost surely, 242772248 is an apocalyptic number.

It is an amenable number.

42772248 is an abundant number, since it is smaller than the sum of its proper divisors (73624032).

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

42772248 is a wasteful number, since it uses less digits than its factorization.

42772248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2849 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 42772248 is about 6540.0495410968. The cubic root of 42772248 is about 349.7201790671.

The spelling of 42772248 in words is "forty-two million, seven hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 681 908 1362 1816 2043 2617 2724 4086 5234 5448 7851 8172 10468 15702 16344 20936 23553 31404 47106 62808 94212 188424 594059 1188118 1782177 2376236 3564354 4752472 5346531 7128708 10693062 14257416 21386124 42772248