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48580861240 = 23517154346301
BaseRepresentation
bin101101001111101001…
…010001110100111000
311122101200110110020001
4231033221101310320
51243443200024430
634152344242344
73336610335652
oct551751216470
9148350413201
1048580861240
111966a6a20aa
1294b97703b4
134772a4cb52
1424cc0796d2
1513e4ebe3ca
hexb4fa51d38

48580861240 has 64 divisors (see below), whose sum is σ = 115814266560. Its totient is φ = 18277017600.

The previous prime is 48580861229. The next prime is 48580861243. The reversal of 48580861240 is 4216808584.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48580861243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026090 + ... + 1072390.

It is an arithmetic number, because the mean of its divisors is an integer number (1809597915).

Almost surely, 248580861240 is an apocalyptic number.

48580861240 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 48580861240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57907133280).

48580861240 is an abundant number, since it is smaller than the sum of its proper divisors (67233405320).

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

48580861240 is a wasteful number, since it uses less digits than its factorization.

48580861240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47872 (or 47868 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 48580861240 in words is "forty-eight billion, five hundred eighty million, eight hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1543 3086 6172 7715 12344 15430 26231 30860 46301 52462 61720 92602 104924 131155 185204 209848 231505 262310 370408 463010 524620 787117 926020 1049240 1574234 1852040 3148468 3935585 6296936 7871170 15742340 31484680 71442443 142884886 285769772 357212215 571539544 714424430 1214521531 1428848860 2429043062 2857697720 4858086124 6072607655 9716172248 12145215310 24290430620 48580861240