Search a number
-
+
47950848 = 2103211243
BaseRepresentation
bin1011011011101…
…0110000000000
310100020011012100
42312322300000
544233411343
64431430400
71121401251
oct266726000
9110204170
1047950848
1125081200
1214085400
139c1b7aa
146522b28
1543229d3
hex2dbac00

47950848 has 198 divisors, whose sum is σ = 155727572. Its totient is φ = 14192640.

The previous prime is 47950787. The next prime is 47950871. The reversal of 47950848 is 84805974.

It is a tau number, because it is divible by the number of its divisors (198).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1115115 + ... + 1115157.

Almost surely, 247950848 is an apocalyptic number.

47950848 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 47950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77863786).

47950848 is an abundant number, since it is smaller than the sum of its proper divisors (107776724).

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

47950848 is a wasteful number, since it uses less digits than its factorization.

47950848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 47950848 is about 6924.6550816629. The cubic root of 47950848 is about 363.3000274345.

The spelling of 47950848 in words is "forty-seven million, nine hundred fifty thousand, eight hundred forty-eight".