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48375248 = 2429137761
BaseRepresentation
bin1011100010001…
…0010111010000
310101000201100212
42320202113100
544341001443
64444503252
71125116465
oct270422720
9111021325
1048375248
1125341049
121424ab28
13a039a0c
1465d366c
1543a8618
hex2e225d0

48375248 has 40 divisors (see below), whose sum is σ = 97795080. Its totient is φ = 23152640.

The previous prime is 48375247. The next prime is 48375253. The reversal of 48375248 is 84257384.

It can be written as a sum of positive squares in 4 ways, for example, as 322624 + 48052624 = 568^2 + 6932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48375247) 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, 63188 + ... + 63948.

It is an arithmetic number, because the mean of its divisors is an integer number (2444877).

Almost surely, 248375248 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 48375248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48897540).

48375248 is an abundant number, since it is smaller than the sum of its proper divisors (49419832).

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

48375248 is a wasteful number, since it uses less digits than its factorization.

48375248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 48375248 is about 6955.2316999508. The cubic root of 48375248 is about 364.3687042133.

The spelling of 48375248 in words is "forty-eight million, three hundred seventy-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 137 232 274 464 548 761 1096 1522 2192 3044 3973 6088 7946 12176 15892 22069 31784 44138 63568 88276 104257 176552 208514 353104 417028 834056 1668112 3023453 6046906 12093812 24187624 48375248