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42130848 = 2532319081
BaseRepresentation
bin1010000010110…
…1110110100000
32221021110122210
42200231312200
541241141343
64103002120
71021051314
oct240556640
987243583
1042130848
1121866591
1212139340
1389616c6
145849b44
153a73333
hex282dda0

42130848 has 48 divisors (see below), whose sum is σ = 115407936. Its totient is φ = 13432320.

The previous prime is 42130817. The next prime is 42130849. The reversal of 42130848 is 84803124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7333 + ... + 11748.

It is an arithmetic number, because the mean of its divisors is an integer number (2404332).

Almost surely, 242130848 is an apocalyptic number.

42130848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42130848 is an abundant number, since it is smaller than the sum of its proper divisors (73277088).

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

42130848 is a wasteful number, since it uses less digits than its factorization.

42130848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19117 (or 19109 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42130848 is about 6490.8279903260. The cubic root of 42130848 is about 347.9632673608.

The spelling of 42130848 in words is "forty-two million, one hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 19081 38162 57243 76324 114486 152648 228972 305296 438863 457944 610592 877726 915888 1316589 1755452 1831776 2633178 3510904 5266356 7021808 10532712 14043616 21065424 42130848