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42411432 = 2337252449
BaseRepresentation
bin1010000111001…
…0010110101000
32221210201112210
42201302112220
541324131212
64113005120
71023330330
oct241622650
987721483
1042411432
1121a38378
12122537a0
138a2c32b
1458c00c0
153acb53c
hex28725a8

42411432 has 32 divisors (see below), whose sum is σ = 121176000. Its totient is φ = 12117504.

The previous prime is 42411419. The next prime is 42411433. The reversal of 42411432 is 23411424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42411399 and 42411408.

It is not an unprimeable number, because it can be changed into a prime (42411433) by changing a digit.

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, 126057 + ... + 126392.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 242411432 is an apocalyptic number.

42411432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42411432 is an abundant number, since it is smaller than the sum of its proper divisors (78764568).

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

42411432 is a wasteful number, since it uses less digits than its factorization.

42411432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252465 (or 252461 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 42411432 is about 6512.4060069993. The cubic root of 42411432 is about 348.7340168161.

Adding to 42411432 its reverse (23411424), we get a palindrome (65822856).

The spelling of 42411432 in words is "forty-two million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 252449 504898 757347 1009796 1514694 1767143 2019592 3029388 3534286 5301429 6058776 7068572 10602858 14137144 21205716 42411432