Search a number
-
+
42435484 = 22713731597
BaseRepresentation
bin1010000111100…
…0001110011100
32221211221112121
42201320032130
541330413414
64113312324
71023460420
oct241701634
987757477
1042435484
1121a54453
12122656a4
138a3a270
1458c8b80
153ad3724
hex287839c

42435484 has 48 divisors (see below), whose sum is σ = 92709568. Its totient is φ = 16547328.

The previous prime is 42435479. The next prime is 42435487. The reversal of 42435484 is 48453424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435487) 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, 25774 + ... + 27370.

Almost surely, 242435484 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 42435484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46354784).

42435484 is an abundant number, since it is smaller than the sum of its proper divisors (50274084).

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

42435484 is a wasteful number, since it uses less digits than its factorization.

42435484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1692 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The square root of 42435484 is about 6514.2523746014. The cubic root of 42435484 is about 348.7999280188.

The spelling of 42435484 in words is "forty-two million, four hundred thirty-five thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 511 949 1022 1597 1898 2044 3194 3796 6388 6643 11179 13286 20761 22358 26572 41522 44716 83044 116581 145327 233162 290654 466324 581308 816067 1515553 1632134 3031106 3264268 6062212 10608871 21217742 42435484