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48210240 = 2635133863
BaseRepresentation
bin1011011111101…
…0000101000000
310100201100000110
42313322011000
544320211430
64441151320
71123531431
oct267720500
9110640013
1048210240
1125239081
121418b540
139cac890
14658d488
1543747b0
hex2dfa140

48210240 has 112 divisors (see below), whose sum is σ = 164884608. Its totient is φ = 11864064.

The previous prime is 48210233. The next prime is 48210259. The reversal of 48210240 is 4201284.

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, 10549 + ... + 14411.

It is an arithmetic number, because the mean of its divisors is an integer number (1472184).

Almost surely, 248210240 is an apocalyptic number.

48210240 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 48210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82442304).

48210240 is an abundant number, since it is smaller than the sum of its proper divisors (116674368).

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

48210240 is a wasteful number, since it uses less digits than its factorization.

48210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 48210240 is about 6943.3594174578. The cubic root of 48210240 is about 363.9539449842.

The spelling of 48210240 in words is "forty-eight million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 3863 4160 6240 7726 11589 12480 15452 19315 23178 30904 38630 46356 50219 57945 61808 77260 92712 100438 115890 123616 150657 154520 185424 200876 231780 247232 251095 301314 309040 370848 401752 463560 502190 602628 618080 741696 753285 803504 927120 1004380 1205256 1236160 1506570 1607008 1854240 2008760 2410512 3013140 3214016 3708480 4017520 4821024 6026280 8035040 9642048 12052560 16070080 24105120 48210240