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48086400460 = 22572911843941
BaseRepresentation
bin101100110010001011…
…000011110111001100
311121010020001020112211
4230302023003313030
51241440104303320
634031322240204
73321424442230
oct546213036714
9147106036484
1048086400460
111943657942a
1293a0056064
1346c44870c7
1424825265c0
1513b689c55a
hexb322c3dcc

48086400460 has 48 divisors (see below), whose sum is σ = 119386935360. Its totient is φ = 15918255360.

The previous prime is 48086400443. The next prime is 48086400463. The reversal of 48086400460 is 6400468084.

48086400460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480864004603 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48086400463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5917911 + ... + 5926030.

It is an arithmetic number, because the mean of its divisors is an integer number (2487227820).

Almost surely, 248086400460 is an apocalyptic number.

It is an amenable number.

48086400460 is an abundant number, since it is smaller than the sum of its proper divisors (71300534900).

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

48086400460 is a wasteful number, since it uses less digits than its factorization.

48086400460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843986 (or 11843984 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 48086400460 in words is "forty-eight billion, eighty-six million, four hundred thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 11843941 23687882 47375764 59219705 82907587 118439410 165815174 236878820 331630348 343474289 414537935 686948578 829075870 1373897156 1658151740 1717371445 2404320023 3434742890 4808640046 6869485780 9617280092 12021600115 24043200230 48086400460