Search a number
-
+
42763084 = 22721321291
BaseRepresentation
bin1010001100100…
…0001101001100
32222110120220221
42203020031030
541421404314
64124321124
71026323500
oct243101514
988416827
1042763084
11221585a1
12123a31a4
138b23400
145972300
153b4a824
hex28c834c

42763084 has 54 divisors (see below), whose sum is σ = 94337964. Its totient is φ = 16904160.

The previous prime is 42763079. The next prime is 42763111. The reversal of 42763084 is 48036724.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32479 + ... + 33769.

Almost surely, 242763084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42763084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47168982).

42763084 is an abundant number, since it is smaller than the sum of its proper divisors (51574880).

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

42763084 is a wasteful number, since it uses less digits than its factorization.

42763084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 42763084 is about 6539.3488972527. The cubic root of 42763084 is about 349.6952013087.

The spelling of 42763084 in words is "forty-two million, seven hundred sixty-three thousand, eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 1291 2366 2548 2582 4732 5164 8281 9037 16562 16783 18074 33124 33566 36148 63259 67132 117481 126518 218179 234962 253036 436358 469924 822367 872716 1527253 1644734 3054506 3289468 6109012 10690771 21381542 42763084