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42503440 = 2457711069
BaseRepresentation
bin1010001000100…
…0110100010000
32221222101202111
42202020310100
541340102230
64114555104
71024162510
oct242106420
987871674
1042503440
1121aa0511
1212298a94
138a62185
145905840
153ae892a
hex2888d10

42503440 has 80 divisors (see below), whose sum is σ = 114635520. Its totient is φ = 14353920.

The previous prime is 42503413. The next prime is 42503441. The reversal of 42503440 is 4430524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42503441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39226 + ... + 40294.

It is an arithmetic number, because the mean of its divisors is an integer number (1432944).

Almost surely, 242503440 is an apocalyptic number.

42503440 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 42503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57317760).

42503440 is an abundant number, since it is smaller than the sum of its proper divisors (72132080).

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

42503440 is a wasteful number, since it uses less digits than its factorization.

42503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 42503440 is about 6519.4662358202. The cubic root of 42503440 is about 348.9860176170.

Adding to 42503440 its reverse (4430524), we get a palindrome (46933964).

The spelling of 42503440 in words is "forty-two million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1069 1136 1420 1988 2138 2485 2840 3976 4276 4970 5345 5680 7483 7952 8552 9940 10690 14966 17104 19880 21380 29932 37415 39760 42760 59864 74830 75899 85520 119728 149660 151798 299320 303596 379495 531293 598640 607192 758990 1062586 1214384 1517980 2125172 2656465 3035960 4250344 5312930 6071920 8500688 10625860 21251720 42503440