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42434505 = 32519311601
BaseRepresentation
bin1010000111011…
…1111111001001
32221211220012100
42201313333021
541330401010
64113304013
71023454521
oct241677711
987756170
1042434505
1121a53743
1212265009
138a39999
1458c8681
153ad32c0
hex2877fc9

42434505 has 48 divisors (see below), whose sum is σ = 79971840. Its totient is φ = 20736000.

The previous prime is 42434501. The next prime is 42434521. The reversal of 42434505 is 50543424.

It is not a de Polignac number, because 42434505 - 22 = 42434501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42434501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25705 + ... + 27305.

It is an arithmetic number, because the mean of its divisors is an integer number (1666080).

Almost surely, 242434505 is an apocalyptic number.

42434505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42434505 is a deficient number, since it is larger than the sum of its proper divisors (37537335).

42434505 is a wasteful number, since it uses less digits than its factorization.

42434505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 42434505 is about 6514.1772312396. The cubic root of 42434505 is about 348.7972456901.

Adding to 42434505 its reverse (50543424), we get a palindrome (92977929).

The spelling of 42434505 in words is "forty-two million, four hundred thirty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 19 31 45 57 93 95 155 171 279 285 465 589 855 1395 1601 1767 2945 4803 5301 8005 8835 14409 24015 26505 30419 49631 72045 91257 148893 152095 248155 273771 446679 456285 744465 942989 1368855 2233395 2828967 4714945 8486901 14144835 42434505