Search a number
-
+
42769240 = 2357397151
BaseRepresentation
bin1010001100100…
…1101101011000
32222110220100221
42203021231120
541422103430
64124405424
71026350443
oct243115530
988426327
1042769240
1122162188
12123a6874
138b26157
14597465a
153b4c57a
hex28c9b58

42769240 has 64 divisors (see below), whose sum is σ = 99207360. Its totient is φ = 16588800.

The previous prime is 42769211. The next prime is 42769241. The reversal of 42769240 is 4296724.

It is a junction number, because it is equal to n+sod(n) for n = 42769196 and 42769205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42769241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283165 + ... + 283315.

It is an arithmetic number, because the mean of its divisors is an integer number (1550115).

Almost surely, 242769240 is an apocalyptic number.

42769240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42769240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49603680).

42769240 is an abundant number, since it is smaller than the sum of its proper divisors (56438120).

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

42769240 is a wasteful number, since it uses less digits than its factorization.

42769240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 42769240 is about 6539.8195693765. The cubic root of 42769240 is about 349.7119807375.

The spelling of 42769240 in words is "forty-two million, seven hundred sixty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 97 146 151 194 292 302 365 388 485 584 604 730 755 776 970 1208 1460 1510 1940 2920 3020 3880 6040 7081 11023 14162 14647 22046 28324 29294 35405 44092 55115 56648 58588 70810 73235 88184 110230 117176 141620 146470 220460 283240 292940 440920 585880 1069231 2138462 4276924 5346155 8553848 10692310 21384620 42769240