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49183248 = 24319199271
BaseRepresentation
bin1011101110011…
…1101000010000
310102112202201210
42323213220100
5100042330443
64514100120
71135023252
oct273475020
9112482653
1049183248
1125843114
121457a640
13a26071a
146763cd2
1544b7c33
hex2ee7a10

49183248 has 80 divisors (see below), whose sum is σ = 134912000. Its totient is φ = 15396480.

The previous prime is 49183243. The next prime is 49183259. The reversal of 49183248 is 84238194.

49183248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49183243) 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, 181353 + ... + 181623.

It is an arithmetic number, because the mean of its divisors is an integer number (1686400).

Almost surely, 249183248 is an apocalyptic number.

49183248 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 49183248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67456000).

49183248 is an abundant number, since it is smaller than the sum of its proper divisors (85728752).

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

49183248 is a wasteful number, since it uses less digits than its factorization.

49183248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 49183248 is about 7013.0769281393. The cubic root of 49183248 is about 366.3861671074.

The spelling of 49183248 in words is "forty-nine million, one hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 199 228 271 304 398 456 542 597 796 813 912 1084 1194 1592 1626 2168 2388 3184 3252 3781 4336 4776 5149 6504 7562 9552 10298 11343 13008 15124 15447 20596 22686 30248 30894 41192 45372 53929 60496 61788 82384 90744 107858 123576 161787 181488 215716 247152 323574 431432 647148 862864 1024651 1294296 2049302 2588592 3073953 4098604 6147906 8197208 12295812 16394416 24591624 49183248