Search a number
-
+
42790000 = 245411389
BaseRepresentation
bin1010001100111…
…0110001110000
32222111221211211
42203032301300
541423240000
64125045504
71026465121
oct243166160
988457754
1042790000
1122176840
12123b6894
138b32736
14597c048
153b537ba
hex28cec70

42790000 has 100 divisors (see below), whose sum is σ = 113307480. Its totient is φ = 15520000.

The previous prime is 42789991. The next prime is 42790001. The reversal of 42790000 is 9724.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42790001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109806 + ... + 110194.

Almost surely, 242790000 is an apocalyptic number.

42790000 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 42790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56653740).

42790000 is an abundant number, since it is smaller than the sum of its proper divisors (70517480).

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

42790000 is a wasteful number, since it uses less digits than its factorization.

42790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 42790000 is about 6541.4065765705. The cubic root of 42790000 is about 349.7685544681.

Adding to 42790000 its reverse (9724), we get a palindrome (42799724).

The spelling of 42790000 in words is "forty-two million, seven hundred ninety thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 389 400 440 500 550 625 778 880 1000 1100 1250 1375 1556 1945 2000 2200 2500 2750 3112 3890 4279 4400 5000 5500 6224 6875 7780 8558 9725 10000 11000 13750 15560 17116 19450 21395 22000 27500 31120 34232 38900 42790 48625 55000 68464 77800 85580 97250 106975 110000 155600 171160 194500 213950 243125 342320 389000 427900 486250 534875 778000 855800 972500 1069750 1711600 1945000 2139500 2674375 3890000 4279000 5348750 8558000 10697500 21395000 42790000