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42425520 = 2435434111
BaseRepresentation
bin1010000111010…
…1110010110000
32221211102212120
42201311302300
541330104040
64113154240
71023416364
oct241656260
987742776
1042425520
1121a47a15
121225b980
138a35877
1458c52a4
153ad07d0
hex2875cb0

42425520 has 80 divisors (see below), whose sum is σ = 134610432. Its totient is φ = 11047680.

The previous prime is 42425519. The next prime is 42425531. The reversal of 42425520 is 2552424.

It is a happy number.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8265 + ... + 12375.

Almost surely, 242425520 is an apocalyptic number.

42425520 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 42425520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67305216).

42425520 is an abundant number, since it is smaller than the sum of its proper divisors (92184912).

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

42425520 is a wasteful number, since it uses less digits than its factorization.

42425520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42425520 is about 6513.4875450867. The cubic root of 42425520 is about 348.7726260677.

Adding to 42425520 its reverse (2552424), we get a palindrome (44977944).

The spelling of 42425520 in words is "forty-two million, four hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 4111 5160 8222 10320 12333 16444 20555 24666 32888 41110 49332 61665 65776 82220 98664 123330 164440 176773 197328 246660 328880 353546 493320 530319 707092 883865 986640 1060638 1414184 1767730 2121276 2651595 2828368 3535460 4242552 5303190 7070920 8485104 10606380 14141840 21212760 42425520