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48083280 = 2435728621
BaseRepresentation
bin1011011101101…
…1000101010000
310100110212212020
42313123011100
544302131110
64434331440
71122462330
oct267330520
9110425766
1048083280
1125161753
1214129b80
139c66b5b
1465590c0
15434bd70
hex2ddb150

48083280 has 80 divisors (see below), whose sum is σ = 170358144. Its totient is φ = 10990080.

The previous prime is 48083257. The next prime is 48083323. The reversal of 48083280 is 8238084.

48083280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×480832803 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12631 + ... + 15990.

Almost surely, 248083280 is an apocalyptic number.

48083280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48083280 is an abundant number, since it is smaller than the sum of its proper divisors (122274864).

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

48083280 is a wasteful number, since it uses less digits than its factorization.

48083280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28644 (or 28638 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48083280 is about 6934.2108419055. The cubic root of 48083280 is about 363.6341774111.

The spelling of 48083280 in words is "forty-eight million, eighty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 28621 57242 85863 114484 143105 171726 200347 228968 286210 343452 400694 429315 457936 572420 601041 686904 801388 858630 1001735 1144840 1202082 1373808 1602776 1717260 2003470 2289680 2404164 3005205 3205552 3434520 4006940 4808328 6010410 6869040 8013880 9616656 12020820 16027760 24041640 48083280