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42500880 = 2432559029
BaseRepresentation
bin1010001000100…
…0001100010000
32221222021020200
42202020030100
541340012010
64114535200
71024152162
oct242101420
987867220
1042500880
1121a995a4
1212297500
138a60c66
145904932
153ae7cc0
hex2888310

42500880 has 60 divisors (see below), whose sum is σ = 142734540. Its totient is φ = 11333376.

The previous prime is 42500873. The next prime is 42500881. The reversal of 42500880 is 8800524.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 32080896 = 3228^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42500881) 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 11 ways as a sum of consecutive naturals, for example, 28795 + ... + 30234.

It is an arithmetic number, because the mean of its divisors is an integer number (2378909).

Almost surely, 242500880 is an apocalyptic number.

42500880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42500880 is an abundant number, since it is smaller than the sum of its proper divisors (100233660).

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

42500880 is a wasteful number, since it uses less digits than its factorization.

42500880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59048 (or 59039 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 42500880 is about 6519.2698977723. The cubic root of 42500880 is about 348.9790109516.

The spelling of 42500880 in words is "forty-two million, five hundred thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 59029 118058 177087 236116 295145 354174 472232 531261 590290 708348 885435 944464 1062522 1180580 1416696 1770870 2125044 2361160 2656305 2833392 3541740 4250088 4722320 5312610 7083480 8500176 10625220 14166960 21250440 42500880