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42352544 = 2513611669
BaseRepresentation
bin1010000110001…
…1111110100000
32221200201202202
42201203332200
541320240134
64111432332
71022663543
oct241437640
987621682
1042352544
11219a8103
12122256a8
138a0b5a0
1458a685a
153ab8d7e
hex2863fa0

42352544 has 48 divisors (see below), whose sum is σ = 91322280. Its totient is φ = 19215360.

The previous prime is 42352537. The next prime is 42352547. The reversal of 42352544 is 44525324.

It can be written as a sum of positive squares in 4 ways, for example, as 17472400 + 24880144 = 4180^2 + 4988^2 .

It is not an unprimeable number, because it can be changed into a prime (42352547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24542 + ... + 26210.

Almost surely, 242352544 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 42352544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45661140).

42352544 is an abundant number, since it is smaller than the sum of its proper divisors (48969736).

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

42352544 is a wasteful number, since it uses less digits than its factorization.

42352544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1745 counting only the distinct ones).

The product of its digits is 19200, while the sum is 29.

The square root of 42352544 is about 6507.8832196037. The cubic root of 42352544 is about 348.5725370769.

Adding to 42352544 its reverse (44525324), we get a palindrome (86877868).

The spelling of 42352544 in words is "forty-two million, three hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1669 1952 3172 3338 6344 6676 12688 13352 21697 25376 26704 43394 53408 86788 101809 173576 203618 347152 407236 694304 814472 1323517 1628944 2647034 3257888 5294068 10588136 21176272 42352544