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48228312 = 23311317183
BaseRepresentation
bin1011011111111…
…0011111011000
310100202020210210
42313332133120
544321301222
64441411120
71123635216
oct267763730
9110666723
1048228312
1125250710
1214199aa0
139cb7b82
146595cb6
154379d0c
hex2dfe7d8

48228312 has 128 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 13776000.

The previous prime is 48228283. The next prime is 48228317. The reversal of 48228312 is 21382284.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48228312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48228317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581023 + ... + 581105.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 248228312 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 48228312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

48228312 is an abundant number, since it is smaller than the sum of its proper divisors (91117608).

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

48228312 is a wasteful number, since it uses less digits than its factorization.

48228312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 48228312 is about 6944.6606828556. The cubic root of 48228312 is about 363.9994163336. Note that the first 3 decimals are identical.

The spelling of 48228312 in words is "forty-eight million, two hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 71 83 88 93 124 132 142 166 186 213 248 249 264 284 332 341 372 426 498 568 664 682 744 781 852 913 996 1023 1364 1562 1704 1826 1992 2046 2201 2343 2573 2728 2739 3124 3652 4092 4402 4686 5146 5478 5893 6248 6603 7304 7719 8184 8804 9372 10292 10956 11786 13206 15438 17608 17679 18744 20584 21912 23572 24211 26412 28303 30876 35358 47144 48422 52824 56606 61752 64823 70716 72633 84909 96844 113212 129646 141432 145266 169818 182683 193688 194469 226424 259292 290532 339636 365366 388938 518584 548049 581064 679272 730732 777876 1096098 1461464 1555752 2009513 2192196 4019026 4384392 6028539 8038052 12057078 16076104 24114156 48228312