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42487040 = 285191747
BaseRepresentation
bin1010001000010…
…0110100000000
32221221120021002
42202010310000
541334041130
64114351132
71024063631
oct242046400
987846232
1042487040
1121a8a162
121228b4a8
138a5787b
1458dd888
153ae3b45
hex2884d00

42487040 has 72 divisors (see below), whose sum is σ = 107187360. Its totient is φ = 16091136.

The previous prime is 42487033. The next prime is 42487043. The reversal of 42487040 is 4078424.

It is a junction number, because it is equal to n+sod(n) for n = 42486994 and 42487012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42487043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23447 + ... + 25193.

Almost surely, 242487040 is an apocalyptic number.

42487040 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 42487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53593680).

42487040 is an abundant number, since it is smaller than the sum of its proper divisors (64700320).

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

42487040 is a wasteful number, since it uses less digits than its factorization.

42487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 42487040 is about 6518.2083427887. The cubic root of 42487040 is about 348.9411262939.

The spelling of 42487040 in words is "forty-two million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 1747 2432 3040 3494 4864 6080 6988 8735 12160 13976 17470 24320 27952 33193 34940 55904 66386 69880 111808 132772 139760 165965 223616 265544 279520 331930 447232 531088 559040 663860 1062176 1118080 1327720 2124352 2236160 2655440 4248704 5310880 8497408 10621760 21243520 42487040