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48283760 = 2457151571
BaseRepresentation
bin1011100000110…
…0000001110000
310100212001212102
42320030001300
544330040020
64442515532
71124255660
oct270140160
9110761772
1048283760
1125289338
1214205ba8
13a007195
1465ac1a0
15438b475
hex2e0c070

48283760 has 80 divisors (see below), whose sum is σ = 129372672. Its totient is φ = 16416000.

The previous prime is 48283759. The next prime is 48283783. The reversal of 48283760 is 6738284.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84275 + ... + 84845.

Almost surely, 248283760 is an apocalyptic number.

48283760 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 48283760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64686336).

48283760 is an abundant number, since it is smaller than the sum of its proper divisors (81088912).

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

48283760 is a wasteful number, since it uses less digits than its factorization.

48283760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 48283760 is about 6948.6516677698. The cubic root of 48283760 is about 364.1388593906.

The spelling of 48283760 in words is "forty-eight million, two hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 571 604 755 1057 1142 1208 1510 2114 2284 2416 2855 3020 3997 4228 4568 5285 5710 6040 7994 8456 9136 10570 11420 12080 15988 16912 19985 21140 22840 31976 39970 42280 45680 63952 79940 84560 86221 159880 172442 319760 344884 431105 603547 689768 862210 1207094 1379536 1724420 2414188 3017735 3448840 4828376 6035470 6897680 9656752 12070940 24141880 48283760