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48730976 = 2571767191
BaseRepresentation
bin1011100111100…
…1001101100000
310101200210022222
42321321031200
544433342401
64500250212
71131130550
oct271711540
9111623288
1048730976
1125564338
12143a0968
13a1328c8
146687160
154428c1b
hex2e79360

48730976 has 96 divisors (see below), whose sum is σ = 118444032. Its totient is φ = 19261440.

The previous prime is 48730973. The next prime is 48730999. The reversal of 48730976 is 67903784.

48730976 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 (48730973) 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, 255041 + ... + 255231.

It is an arithmetic number, because the mean of its divisors is an integer number (1233792).

Almost surely, 248730976 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 48730976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59222016).

48730976 is an abundant number, since it is smaller than the sum of its proper divisors (69713056).

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

48730976 is a wasteful number, since it uses less digits than its factorization.

48730976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 48730976 is about 6980.7575520140. The cubic root of 48730976 is about 365.2596538624.

The spelling of 48730976 in words is "forty-eight million, seven hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 67 68 112 119 134 136 191 224 238 268 272 382 469 476 536 544 764 938 952 1072 1139 1337 1528 1876 1904 2144 2278 2674 3056 3247 3752 3808 4556 5348 6112 6494 7504 7973 9112 10696 12797 12988 15008 15946 18224 21392 22729 25594 25976 31892 36448 42784 45458 51188 51952 63784 89579 90916 102376 103904 127568 179158 181832 204752 217549 255136 358316 363664 409504 435098 716632 727328 870196 1433264 1522843 1740392 2866528 3045686 3480784 6091372 6961568 12182744 24365488 48730976