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42411024 = 2432535557
BaseRepresentation
bin1010000111001…
…0010000010000
32221210200222200
42201302100100
541324123044
64113003200
71023326205
oct241622020
987720880
1042411024
1121a38037
1212253500
138a2c0a6
1458bdcac
153acb369
hex2872410

42411024 has 60 divisors (see below), whose sum is σ = 120953196. Its totient is φ = 13867776.

The previous prime is 42411023. The next prime is 42411037. The reversal of 42411024 is 42011424.

It can be written as a sum of positive squares in 2 ways, for example, as 36000000 + 6411024 = 6000^2 + 2532^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42410988 and 42411006.

It is not an unprimeable number, because it can be changed into a prime (42411023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4854 + ... + 10410.

Almost surely, 242411024 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 42411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60476598).

42411024 is an abundant number, since it is smaller than the sum of its proper divisors (78542172).

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

42411024 is a wasteful number, since it uses less digits than its factorization.

42411024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42411024 is about 6512.3746820956. The cubic root of 42411024 is about 348.7328985332.

Adding to 42411024 its reverse (42011424), we get a palindrome (84422448).

The spelling of 42411024 in words is "forty-two million, four hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 5557 7632 11114 16671 22228 33342 44456 50013 66684 88912 100026 133368 200052 266736 294521 400104 589042 800208 883563 1178084 1767126 2356168 2650689 3534252 4712336 5301378 7068504 10602756 14137008 21205512 42411024