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48501309240 = 23325431312589
BaseRepresentation
bin101101001010111001…
…110011111100111000
311122012010202210101200
4231022321303330320
51243312313343430
634140423214200
73334623216636
oct551271637470
9148163683350
1048501309240
11196297a754a
129496ba7360
13475c418667
1424c168c356
1513dd008460
hexb4ae73f38

48501309240 has 96 divisors (see below), whose sum is σ = 157995489600. Its totient is φ = 12903632640.

The previous prime is 48501309239. The next prime is 48501309299. The reversal of 48501309240 is 4290310584.

48501309240 is a `hidden beast` number, since 485 + 0 + 130 + 9 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48501309195 and 48501309204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135 + ... + 311454.

It is an arithmetic number, because the mean of its divisors is an integer number (1645786350).

Almost surely, 248501309240 is an apocalyptic number.

48501309240 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 48501309240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78997744800).

48501309240 is an abundant number, since it is smaller than the sum of its proper divisors (109494180360).

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

48501309240 is a wasteful number, since it uses less digits than its factorization.

48501309240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313037 (or 313030 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 48501309240 in words is "forty-eight billion, five hundred one million, three hundred nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 431 862 1293 1724 2155 2586 3448 3879 4310 5172 6465 7758 8620 10344 12930 15516 17240 19395 25860 31032 38790 51720 77580 155160 312589 625178 937767 1250356 1562945 1875534 2500712 2813301 3125890 3751068 4688835 5626602 6251780 7502136 9377670 11253204 12503560 14066505 18755340 22506408 28133010 37510680 56266020 112532040 134725859 269451718 404177577 538903436 673629295 808355154 1077806872 1212532731 1347258590 1616710308 2020887885 2425065462 2694517180 3233420616 4041775770 4850130924 5389034360 6062663655 8083551540 9700261848 12125327310 16167103080 24250654620 48501309240