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48491296 = 257713049
BaseRepresentation
bin1011100011111…
…0101100100000
310101020121112221
42320332230200
544403210141
64451200424
71126112020
oct270765440
9111217487
1048491296
1125410257
12142a6114
13a07a799
146623a80
1543ccbd1
hex2e3eb20

48491296 has 48 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 20482560.

The previous prime is 48491281. The next prime is 48491299. The reversal of 48491296 is 69219484.

48491296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48491299) 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 7 ways as a sum of consecutive naturals, for example, 14380 + ... + 17428.

It is an arithmetic number, because the mean of its divisors is an integer number (2305800).

Almost surely, 248491296 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 48491296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

48491296 is an abundant number, since it is smaller than the sum of its proper divisors (62187104).

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

48491296 is a wasteful number, since it uses less digits than its factorization.

48491296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3129 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 48491296 is about 6963.5691997710. The cubic root of 48491296 is about 364.6598344506.

The spelling of 48491296 in words is "forty-eight million, four hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3049 3976 6098 7952 12196 15904 21343 24392 42686 48784 85372 97568 170744 216479 341488 432958 682976 865916 1515353 1731832 3030706 3463664 6061412 6927328 12122824 24245648 48491296