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48408840040 = 23511475214493
BaseRepresentation
bin101101000101011001…
…000100011101101000
311121221200202212111111
4231011121010131220
51243120130340130
634123321240104
73332421231301
oct550531043550
9147850685444
1048408840040
111959158a020
129470033034
134746210862
1424b329b7a8
1513d4d4002a
hexb45644768

48408840040 has 128 divisors (see below), whose sum is σ = 121609797120. Its totient is φ = 17191782400.

The previous prime is 48408840037. The next prime is 48408840041. The reversal of 48408840040 is 4004880484.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 48408839975 and 48408840002.

It is not an unprimeable number, because it can be changed into a prime (48408840041) 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, 10772034 + ... + 10776526.

It is an arithmetic number, because the mean of its divisors is an integer number (950076540).

Almost surely, 248408840040 is an apocalyptic number.

48408840040 is a gapful number since it is divisible by the number (40) 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 48408840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60804898560).

48408840040 is an abundant number, since it is smaller than the sum of its proper divisors (73200957080).

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

48408840040 is a wasteful number, since it uses less digits than its factorization.

48408840040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 48408840040 in words is "forty-eight billion, four hundred eight million, eight hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 521 940 1034 1042 1880 2068 2084 2585 2605 4136 4168 4493 5170 5210 5731 8986 10340 10420 11462 17972 20680 20840 22465 22924 24487 28655 35944 44930 45848 48974 49423 57310 89860 97948 98846 114620 122435 179720 195896 197692 211171 229240 244870 247115 269357 395384 422342 489740 494230 538714 844684 979480 988460 1055855 1077428 1346785 1689368 1976920 2111710 2154856 2322881 2340853 2693570 4223420 4645762 4681706 5387140 8446840 9291524 9363412 10774280 11614405 11704265 18583048 18726824 23228810 23408530 25749383 46457620 46817060 51498766 92915240 93634120 102997532 110020091 128746915 205995064 220040182 257493830 440080364 514987660 550100455 880160728 1029975320 1100200910 1210221001 2200401820 2420442002 4400803640 4840884004 6051105005 9681768008 12102210010 24204420020 48408840040