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48518080 = 26513107109
BaseRepresentation
bin1011100100010…
…1001111000000
310101021222021221
42321011033000
544410034310
64451524424
71126253062
oct271051700
9111258257
1048518080
1125429396
12142b9714
13a089a30
14662d732
1543d5ada
hex2e453c0

48518080 has 112 divisors (see below), whose sum is σ = 126735840. Its totient is φ = 17584128.

The previous prime is 48518059. The next prime is 48518081. The reversal of 48518080 is 8081584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48518081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445066 + ... + 445174.

It is an arithmetic number, because the mean of its divisors is an integer number (1131570).

Almost surely, 248518080 is an apocalyptic number.

48518080 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 48518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63367920).

48518080 is an abundant number, since it is smaller than the sum of its proper divisors (78217760).

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

48518080 is a wasteful number, since it uses less digits than its factorization.

48518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 48518080 is about 6965.4920859908. The cubic root of 48518080 is about 364.7269616267.

The spelling of 48518080 in words is "forty-eight million, five hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 107 109 130 160 208 214 218 260 320 416 428 436 520 535 545 832 856 872 1040 1070 1090 1391 1417 1712 1744 2080 2140 2180 2782 2834 3424 3488 4160 4280 4360 5564 5668 6848 6955 6976 7085 8560 8720 11128 11336 11663 13910 14170 17120 17440 22256 22672 23326 27820 28340 34240 34880 44512 45344 46652 55640 56680 58315 89024 90688 93304 111280 113360 116630 151619 186608 222560 226720 233260 303238 373216 445120 453440 466520 606476 746432 758095 933040 1212952 1516190 1866080 2425904 3032380 3732160 4851808 6064760 9703616 12129520 24259040 48518080