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2063248500 = 223532947431
BaseRepresentation
bin111101011111010…
…1010110001110100
312022210100212212010
41322332222301310
513211142423000
6540422324220
7102062215515
oct17276526164
95283325763
102063248500
11969717155
12496b89670
1326b5c0b01
14158040a0c
15c1207d50
hex7afaac74

2063248500 has 96 divisors (see below), whose sum is σ = 6215489280. Its totient is φ = 531216000.

The previous prime is 2063248487. The next prime is 2063248507. The reversal of 2063248500 is 58423602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2063248507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19785 + ... + 67215.

It is an arithmetic number, because the mean of its divisors is an integer number (64744680).

Almost surely, 22063248500 is an apocalyptic number.

2063248500 is a gapful number since it is divisible by the number (20) 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 2063248500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107744640).

2063248500 is an abundant number, since it is smaller than the sum of its proper divisors (4152240780).

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

2063248500 is a wasteful number, since it uses less digits than its factorization.

2063248500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47482 (or 47470 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2063248500 is about 45422.9952777225. The cubic root of 2063248500 is about 1273.0648074301.

The spelling of 2063248500 in words is "two billion, sixty-three million, two hundred forty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 500 580 725 750 870 1450 1500 1740 2175 2900 3625 4350 7250 8700 10875 14500 21750 43500 47431 94862 142293 189724 237155 284586 474310 569172 711465 948620 1185775 1375499 1422930 2371550 2750998 2845860 3557325 4126497 4743100 5501996 5928875 6877495 7114650 8252994 11857750 13754990 14229300 16505988 17786625 20632485 23715500 27509980 34387475 35573250 41264970 68774950 71146500 82529940 103162425 137549900 171937375 206324850 343874750 412649700 515812125 687749500 1031624250 2063248500