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48820243140 = 22325299352537
BaseRepresentation
bin101101011101111010…
…011100101011000100
311200000100220022110100
4231131322130223010
51244440440240030
634232215124100
73345545135244
oct553572345304
9150010808410
1048820243140
1119782833289
129565973630
1347b0515546
142511b8db24
15140b007360
hexb5de9cac4

48820243140 has 72 divisors (see below), whose sum is σ = 153194572440. Its totient is φ = 12569808384.

The previous prime is 48820243133. The next prime is 48820243159. The reversal of 48820243140 is 4134202884.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 48816251136 = 1998^2 + 220944^2 .

It is a super-2 number, since 2×488202431402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48820243095 and 48820243104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4671049 + ... + 4681488.

It is an arithmetic number, because the mean of its divisors is an integer number (2127702395).

Almost surely, 248820243140 is an apocalyptic number.

It is an amenable number.

48820243140 is an abundant number, since it is smaller than the sum of its proper divisors (104374329300).

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

48820243140 is a wasteful number, since it uses less digits than its factorization.

48820243140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352581 (or 9352576 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 48820243140 in words is "forty-eight billion, eight hundred twenty million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 9352537 18705074 28057611 37410148 46762685 56115222 84172833 93525370 112230444 140288055 168345666 187050740 271223573 280576110 336691332 420864165 542447146 561152220 813670719 841728330 1084894292 1356117865 1627341438 1683456660 2441012157 2712235730 3254682876 4068353595 4882024314 5424471460 8136707190 9764048628 12205060785 16273414380 24410121570 48820243140