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42425040 = 2435725253
BaseRepresentation
bin1010000111010…
…1101011010000
32221211102012210
42201311223100
541330100130
64113152120
71023415110
oct241655320
987742183
1042425040
1121a47619
121225b640
138a35598
1458c5040
153ad05b0
hex2875ad0

42425040 has 80 divisors (see below), whose sum is σ = 150311808. Its totient is φ = 9696768.

The previous prime is 42425039. The next prime is 42425083. The reversal of 42425040 is 4052424.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 42424998 and 42425016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10947 + ... + 14306.

Almost surely, 242425040 is an apocalyptic number.

42425040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42425040 is an abundant number, since it is smaller than the sum of its proper divisors (107886768).

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

42425040 is a wasteful number, since it uses less digits than its factorization.

42425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25276 (or 25270 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42425040 is about 6513.4506983626. The cubic root of 42425040 is about 348.7713107313.

Adding to 42425040 its reverse (4052424), we get a palindrome (46477464).

The spelling of 42425040 in words is "forty-two million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 25253 50506 75759 101012 126265 151518 176771 202024 252530 303036 353542 378795 404048 505060 530313 606072 707084 757590 883855 1010120 1060626 1212144 1414168 1515180 1767710 2020240 2121252 2651565 2828336 3030360 3535420 4242504 5303130 6060720 7070840 8485008 10606260 14141680 21212520 42425040