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42414512 = 247438807
BaseRepresentation
bin1010000111001…
…1000110110000
32221210212202212
42201303012300
541324231022
64113031252
71023342320
oct241630660
987725685
1042414512
1121a3a718
1212255528
138a3085a
1458c1280
153acc3e2
hex28731b0

42414512 has 40 divisors (see below), whose sum is σ = 96112896. Its totient is φ = 17752896.

The previous prime is 42414503. The next prime is 42414521. The reversal of 42414512 is 21541424.

It is an interprime number because it is at equal distance from previous prime (42414503) and next prime (42414521).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413 + ... + 9219.

Almost surely, 242414512 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 42414512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48056448).

42414512 is an abundant number, since it is smaller than the sum of its proper divisors (53698384).

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

42414512 is a wasteful number, since it uses less digits than its factorization.

42414512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8859 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 42414512 is about 6512.6424744492. The cubic root of 42414512 is about 348.7424585241.

Adding to 42414512 its reverse (21541424), we get a palindrome (63955936).

The spelling of 42414512 in words is "forty-two million, four hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 8807 17614 35228 61649 70456 123298 140912 246596 378701 493192 757402 986384 1514804 2650907 3029608 5301814 6059216 10603628 21207256 42414512