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48255768 = 233211229191
BaseRepresentation
bin1011100000010…
…1001100011000
310100210122110200
42320011030120
544323141033
64442142200
71124111241
oct270051430
9110718420
1048255768
112526a300
12141b1960
139cc7512
1465a1cc8
154383013
hex2e05318

48255768 has 144 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 14044800.

The previous prime is 48255751. The next prime is 48255769. The reversal of 48255768 is 86755284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48255769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252553 + ... + 252743.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 248255768 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 48255768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

48255768 is an abundant number, since it is smaller than the sum of its proper divisors (101129832).

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

48255768 is a wasteful number, since it uses less digits than its factorization.

48255768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 48255768 is about 6946.6371720423. The cubic root of 48255768 is about 364.0684772349.

The spelling of 48255768 in words is "forty-eight million, two hundred fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 121 132 174 191 198 232 242 261 264 319 348 363 382 396 484 522 573 638 696 726 764 792 957 968 1044 1089 1146 1276 1452 1528 1719 1914 2088 2101 2178 2292 2552 2871 2904 3438 3509 3828 4202 4356 4584 5539 5742 6303 6876 7018 7656 8404 8712 10527 11078 11484 12606 13752 14036 16617 16808 18909 21054 22156 22968 23111 25212 28072 31581 33234 37818 42108 44312 46222 49851 50424 60929 63162 66468 69333 75636 84216 92444 99702 121858 126324 132936 138666 151272 182787 184888 199404 207999 243716 252648 277332 365574 398808 415998 487432 548361 554664 670219 731148 831996 1096722 1340438 1462296 1663992 2010657 2193444 2680876 4021314 4386888 5361752 6031971 8042628 12063942 16085256 24127884 48255768