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42080000 = 2854263
BaseRepresentation
bin1010000010000…
…1011100000000
32221011212220112
42200201130000
541233030000
64101530452
71020450134
oct240413400
987155815
1042080000
1121831366
1212113a28
138944511
1458353c4
153a63235
hex2821700

42080000 has 90 divisors (see below), whose sum is σ = 105360024. Its totient is φ = 16768000.

The previous prime is 42079987. The next prime is 42080011. The reversal of 42080000 is 8024.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 159869 + ... + 160131.

Almost surely, 242080000 is an apocalyptic number.

42080000 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 42080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52680012).

42080000 is an abundant number, since it is smaller than the sum of its proper divisors (63280024).

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

42080000 is an frugal number, since it uses more digits than its factorization.

42080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42080000 is about 6486.9098960907. The cubic root of 42080000 is about 347.8232246141.

Adding to 42080000 its reverse (8024), we get a palindrome (42088024).

The spelling of 42080000 in words is "forty-two million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 263 320 400 500 526 625 640 800 1000 1052 1250 1280 1315 1600 2000 2104 2500 2630 3200 4000 4208 5000 5260 6400 6575 8000 8416 10000 10520 13150 16000 16832 20000 21040 26300 32000 32875 33664 40000 42080 52600 65750 67328 80000 84160 105200 131500 160000 164375 168320 210400 263000 328750 336640 420800 526000 657500 841600 1052000 1315000 1683200 2104000 2630000 4208000 5260000 8416000 10520000 21040000 42080000