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2432550090 = 2354119710039
BaseRepresentation
bin1001000011111101…
…1100010011001010
320021112021100101210
42100333130103022
514440213100330
61041213553550
7114165222525
oct22077342312
96245240353
102432550090
111039124983
1257a7a58b6
132c9c74569
141910d3bbc
15e38558b0
hex90fdc4ca

2432550090 has 64 divisors (see below), whose sum is σ = 6011470080. Its totient is φ = 629583360.

The previous prime is 2432550083. The next prime is 2432550137. The reversal of 2432550090 is 900552342.

2432550090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon 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, 237291 + ... + 247329.

It is an arithmetic number, because the mean of its divisors is an integer number (93929220).

Almost surely, 22432550090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2432550090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005735040).

2432550090 is an abundant number, since it is smaller than the sum of its proper divisors (3578919990).

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

2432550090 is a wasteful number, since it uses less digits than its factorization.

2432550090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2432550090 is about 49320.8889822558. Note that the first 3 decimals coincide. The cubic root of 2432550090 is about 1344.8915470196.

The spelling of 2432550090 in words is "two billion, four hundred thirty-two million, five hundred fifty thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 197 205 246 394 410 591 615 985 1182 1230 1970 2955 5910 8077 10039 16154 20078 24231 30117 40385 48462 50195 60234 80770 100390 121155 150585 242310 301170 411599 823198 1234797 1977683 2057995 2469594 3955366 4115990 5933049 6173985 9888415 11866098 12347970 19776830 29665245 59330490 81085003 162170006 243255009 405425015 486510018 810850030 1216275045 2432550090