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48520080 = 2433573209
BaseRepresentation
bin1011100100010…
…1101110010000
310101022002001000
42321011232100
544410120310
64451542000
71126261650
oct271055620
9111262030
1048520080
112542a944
12142ba900
13a08a90b
146630360
1543d64c0
hex2e45b90

48520080 has 160 divisors (see below), whose sum is σ = 191059200. Its totient is φ = 11086848.

The previous prime is 48520063. The next prime is 48520123. The reversal of 48520080 is 8002584.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13516 + ... + 16724.

It is an arithmetic number, because the mean of its divisors is an integer number (1194120).

Almost surely, 248520080 is an apocalyptic number.

48520080 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 48520080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95529600).

48520080 is an abundant number, since it is smaller than the sum of its proper divisors (142539120).

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

48520080 is a wasteful number, since it uses less digits than its factorization.

48520080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48520080 is about 6965.6356493862. The cubic root of 48520080 is about 364.7319731187.

The spelling of 48520080 in words is "forty-eight million, five hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3209 3780 5040 6418 7560 9627 12836 15120 16045 19254 22463 25672 28881 32090 38508 44926 48135 51344 57762 64180 67389 77016 86643 89852 96270 112315 115524 128360 134778 144405 154032 173286 179704 192540 202167 224630 231048 256720 269556 288810 336945 346572 359408 385080 404334 433215 449260 462096 539112 577620 606501 673890 693144 770160 808668 866430 898520 1010835 1078224 1155240 1213002 1347780 1386288 1617336 1732860 1797040 2021670 2310480 2426004 2695560 3032505 3234672 3465720 4043340 4852008 5391120 6065010 6931440 8086680 9704016 12130020 16173360 24260040 48520080