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42946848 = 25367263
BaseRepresentation
bin1010001111010…
…1000100100000
32222210221000000
42203311010200
541443244343
64132300000
71031020320
oct243650440
988727000
1042946848
112227366a
1212471600
138b88c49
1459bd280
153b84ed3
hex28f5120

42946848 has 168 divisors, whose sum is σ = 145430208. Its totient is φ = 12223872.

The previous prime is 42946837. The next prime is 42946877. The reversal of 42946848 is 84864924.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163165 + ... + 163427.

It is an arithmetic number, because the mean of its divisors is an integer number (865656).

Almost surely, 242946848 is an apocalyptic number.

42946848 is a gapful number since it is divisible by the number (48) 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 42946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72715104).

42946848 is an abundant number, since it is smaller than the sum of its proper divisors (102483360).

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

42946848 is an equidigital number, since it uses as much as digits as its factorization.

42946848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 42946848 is about 6553.3844691121. The cubic root of 42946848 is about 350.1953956574.

The spelling of 42946848 in words is "forty-two million, nine hundred forty-six thousand, eight hundred forty-eight".