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48583680 = 210353163
BaseRepresentation
bin1011100101010…
…1010000000000
310101102022021120
42321111100000
544414134210
64453152240
71126645245
oct271252000
9111368246
1048583680
1125473702
121432b680
13a0b0852
1466495cc
1543ea270
hex2e55400

48583680 has 88 divisors (see below), whose sum is σ = 155440992. Its totient is φ = 12951552.

The previous prime is 48583621. The next prime is 48583687. The reversal of 48583680 is 8638584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48583687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13779 + ... + 16941.

Almost surely, 248583680 is an apocalyptic number.

48583680 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 48583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77720496).

48583680 is an abundant number, since it is smaller than the sum of its proper divisors (106857312).

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

48583680 is a wasteful number, since it uses less digits than its factorization.

48583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 48583680 is about 6970.1994232590. The cubic root of 48583680 is about 364.8912667923.

The spelling of 48583680 in words is "forty-eight million, five hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3163 3840 5120 6326 7680 9489 12652 15360 15815 18978 25304 31630 37956 47445 50608 63260 75912 94890 101216 126520 151824 189780 202432 253040 303648 379560 404864 506080 607296 759120 809728 1012160 1214592 1518240 1619456 2024320 2429184 3036480 3238912 4048640 4858368 6072960 8097280 9716736 12145920 16194560 24291840 48583680