Search a number
-
+
48379108404 = 223114767311587
BaseRepresentation
bin101101000011100111…
…101001110000110100
311121212121211100100210
4231003213221300310
51243040022432104
634120340105420
73331610431164
oct550347516064
9147777740323
1048379108404
1119576822220
129462095270
134740000a83
1424ad35c5a4
1513d241a989
hexb439e9c34

48379108404 has 96 divisors (see below), whose sum is σ = 125964711936. Its totient is φ = 14325857280.

The previous prime is 48379108391. The next prime is 48379108429. The reversal of 48379108404 is 40480197384.

48379108404 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4169499 + ... + 4181085.

It is an arithmetic number, because the mean of its divisors is an integer number (1312132416).

Almost surely, 248379108404 is an apocalyptic number.

48379108404 is a gapful number since it is divisible by the number (44) 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 48379108404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62982355968).

48379108404 is an abundant number, since it is smaller than the sum of its proper divisors (77585603532).

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

48379108404 is a wasteful number, since it uses less digits than its factorization.

48379108404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12325 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 48379108404 in words is "forty-eight billion, three hundred seventy-nine million, one hundred eight thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 673 1034 1346 1551 2019 2068 2692 3102 4038 6204 7403 8076 11587 14806 22209 23174 29612 31631 34761 44418 46348 63262 69522 88836 94893 126524 127457 139044 189786 254914 347941 379572 382371 509828 544589 695882 764742 1043823 1089178 1391764 1529484 1633767 2087646 2178356 3267534 4175292 5990479 6535068 7798051 11980958 15596102 17971437 23394153 23961916 31192204 35942874 46788306 71885748 85778561 93576612 171557122 257335683 343114244 366508397 514671366 733016794 1029342732 1099525191 1466033588 2199050382 4031592367 4398100764 8063184734 12094777101 16126369468 24189554202 48379108404