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42448608 = 2532147391
BaseRepresentation
bin1010000111101…
…1011011100000
32221212121112200
42201323123200
541331323413
64113453200
71023543606
oct241733340
987777480
1042448608
1121a632a4
1212271200
138a43227
1458cd876
153ad7573
hex287b6e0

42448608 has 36 divisors (see below), whose sum is σ = 120714048. Its totient is φ = 14149440.

The previous prime is 42448591. The next prime is 42448621. The reversal of 42448608 is 80684424.

42448608 is a `hidden beast` number, since 4 + 2 + 4 + 48 + 608 = 666.

42448608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×424486082 = 3603768642275328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73408 + ... + 73983.

It is an arithmetic number, because the mean of its divisors is an integer number (3353168).

Almost surely, 242448608 is an apocalyptic number.

42448608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42448608 is an abundant number, since it is smaller than the sum of its proper divisors (78265440).

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

42448608 is a wasteful number, since it uses less digits than its factorization.

42448608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147407 (or 147396 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42448608 is about 6515.2596264462. The cubic root of 42448608 is about 348.8358820365.

The spelling of 42448608 in words is "forty-two million, four hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147391 294782 442173 589564 884346 1179128 1326519 1768692 2358256 2653038 3537384 4716512 5306076 7074768 10612152 14149536 21224304 42448608