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42034640 = 245525433
BaseRepresentation
bin1010000001011…
…0010111010000
32221002120200112
42200112113100
541230102030
64100540452
71020200654
oct240262720
987076615
1042034640
112180027a
12120b1728
13892998b
145822a64
153a54a95
hex28165d0

42034640 has 20 divisors (see below), whose sum is σ = 97730724. Its totient is φ = 16813824.

The previous prime is 42034621. The next prime is 42034649. The reversal of 42034640 is 4643024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31091776 + 10942864 = 5576^2 + 3308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42034649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262637 + ... + 262796.

Almost surely, 242034640 is an apocalyptic number.

42034640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42034640 is an abundant number, since it is smaller than the sum of its proper divisors (55696084).

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

42034640 is a wasteful number, since it uses less digits than its factorization.

42034640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525446 (or 525440 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 42034640 is about 6483.4126816053. The cubic root of 42034640 is about 347.6982013736.

Adding to 42034640 its reverse (4643024), we get a palindrome (46677664).

The spelling of 42034640 in words is "forty-two million, thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 525433 1050866 2101732 2627165 4203464 5254330 8406928 10508660 21017320 42034640