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42469440 = 2635134183
BaseRepresentation
bin1010001000000…
…0100001000000
32221220200010020
42202000201000
541333010230
64114133440
71023661416
oct242004100
987820106
1042469440
1121a77a12
1212281280
138a4c860
1458d72b6
153add810
hex2880840

42469440 has 224 divisors, whose sum is σ = 150546816. Its totient is φ = 10076160.

The previous prime is 42469409. The next prime is 42469463. The reversal of 42469440 is 4496424.

42469440 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511639 + ... + 511721.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 242469440 is an apocalyptic number.

42469440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75273408).

42469440 is an abundant number, since it is smaller than the sum of its proper divisors (108077376).

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

42469440 is a wasteful number, since it uses less digits than its factorization.

42469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 42469440 is about 6516.8581387046. The cubic root of 42469440 is about 348.8929373872.

The spelling of 42469440 in words is "forty-two million, four hundred sixty-nine thousand, four hundred forty".