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42987520 = 21252099
BaseRepresentation
bin1010001111111…
…1000000000000
32222212222210101
42203333000000
542001100040
64133212144
71031250022
oct243770000
988788711
1042987520
11222a1184
1212491054
138ba1604
1459d0012
153b9209a
hex28ff000

42987520 has 52 divisors (see below), whose sum is σ = 103206600. Its totient is φ = 17186816.

The previous prime is 42987517. The next prime is 42987521. The reversal of 42987520 is 2578924.

It is a self number, because there is not a number n which added to its sum of digits gives 42987520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42987521) 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, 19431 + ... + 21529.

Almost surely, 242987520 is an apocalyptic number.

42987520 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 42987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51603300).

42987520 is an abundant number, since it is smaller than the sum of its proper divisors (60219080).

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

42987520 is an equidigital number, since it uses as much as digits as its factorization.

42987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 42987520 is about 6556.4868641674. The cubic root of 42987520 is about 350.3059094198.

The spelling of 42987520 in words is "forty-two million, nine hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2099 2560 4096 4198 5120 8396 10240 10495 16792 20480 20990 33584 41980 67168 83960 134336 167920 268672 335840 537344 671680 1074688 1343360 2149376 2686720 4298752 5373440 8597504 10746880 21493760 42987520