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48980148 = 2237599883
BaseRepresentation
bin1011101011011…
…0000010110100
310102011110010120
42322312002310
5100014331043
64505451540
71133216160
oct272660264
9112143116
1048980148
1125714568
12144a0bb0
13a1bc149
14670dca0
154477983
hex2eb60b4

48980148 has 48 divisors (see below), whose sum is σ = 132840960. Its totient is φ = 13755744.

The previous prime is 48980147. The next prime is 48980177. The reversal of 48980148 is 84108984.

48980148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48980147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15 + ... + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (2767520).

Almost surely, 248980148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48980148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66420480).

48980148 is an abundant number, since it is smaller than the sum of its proper divisors (83860812).

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

48980148 is a wasteful number, since it uses less digits than its factorization.

48980148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 48980148 is about 6998.5818563478. The cubic root of 48980148 is about 365.8811462747.

The spelling of 48980148 in words is "forty-eight million, nine hundred eighty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 9883 19766 29649 39532 59298 69181 118596 138362 207543 276724 415086 583097 830172 1166194 1749291 2332388 3498582 4081679 6997164 8163358 12245037 16326716 24490074 48980148