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48349904 = 24171491193
BaseRepresentation
bin1011100001110…
…0001011010000
310100222102121012
42320130023100
544334144104
64444150052
71124652551
oct270341320
9110872535
1048349904
1125323aa9
1214238328
13a02b315
1465c8328
1543a0d6e
hex2e1c2d0

48349904 has 40 divisors (see below), whose sum is σ = 99937800. Its totient is φ = 22581248.

The previous prime is 48349901. The next prime is 48349909. The reversal of 48349904 is 40994384.

It can be written as a sum of positive squares in 4 ways, for example, as 5053504 + 43296400 = 2248^2 + 6580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48349901) 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, 39932 + ... + 41124.

It is an arithmetic number, because the mean of its divisors is an integer number (2498445).

Almost surely, 248349904 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 48349904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49968900).

48349904 is an abundant number, since it is smaller than the sum of its proper divisors (51587896).

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

48349904 is a wasteful number, since it uses less digits than its factorization.

48349904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 48349904 is about 6953.4095233921. The cubic root of 48349904 is about 364.3050616553.

The spelling of 48349904 in words is "forty-eight million, three hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 149 272 298 596 1192 1193 2384 2386 2533 4772 5066 9544 10132 19088 20264 20281 40528 40562 81124 162248 177757 324496 355514 711028 1422056 2844112 3021869 6043738 12087476 24174952 48349904