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48480404040 = 2333567669989
BaseRepresentation
bin101101001001101010…
…000100001001001000
311122010200102200212000
4231021222010021020
51243241440412130
634134355151000
73334250430555
oct551152041110
9148120380760
1048480404040
1119618a19122
12948bba5460
134757ca9213
1424bc9a9a2c
1513db279260
hexb49a84248

48480404040 has 128 divisors (see below), whose sum is σ = 164013552000. Its totient is φ = 12735131904.

The previous prime is 48480404023. The next prime is 48480404053. The reversal of 48480404040 is 4040408484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

48480404040 is a modest number, since divided by 404040 gives 48480 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 48480403986 and 48480404004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 262635 + ... + 407354.

It is an arithmetic number, because the mean of its divisors is an integer number (1281355875).

Almost surely, 248480404040 is an apocalyptic number.

48480404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48480404040 is an abundant number, since it is smaller than the sum of its proper divisors (115533147960).

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

48480404040 is a wasteful number, since it uses less digits than its factorization.

48480404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670076 (or 670066 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 48480404040 in words is "forty-eight billion, four hundred eighty million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 335 360 402 536 540 603 670 804 1005 1080 1206 1340 1608 1809 2010 2412 2680 3015 3618 4020 4824 6030 7236 8040 9045 12060 14472 18090 24120 36180 72360 669989 1339978 2009967 2679956 3349945 4019934 5359912 6029901 6699890 8039868 10049835 12059802 13399780 16079736 18089703 20099670 24119604 26799560 30149505 36179406 40199340 44889263 48239208 60299010 72358812 80398680 89778526 90448515 120598020 134667789 144717624 179557052 180897030 224446315 241196040 269335578 359114104 361794060 404003367 448892630 538671156 673338945 723588120 808006734 897785260 1077342312 1212010101 1346677890 1616013468 1795570520 2020016835 2424020202 2693355780 3232026936 4040033670 4848040404 5386711560 6060050505 8080067340 9696080808 12120101010 16160134680 24240202020 48480404040