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482188140 = 223457101421
BaseRepresentation
bin11100101111011…
…001101101101100
31020121022200210000
4130233121231230
51441420010030
6115502544300
714643350220
oct3457315554
91217280700
10482188140
112282010a5
12115598090
1378b89935
144807a780
152c4ea860
hex1cbd9b6c

482188140 has 240 divisors, whose sum is σ = 1749996864. Its totient is φ = 108864000.

The previous prime is 482188129. The next prime is 482188159. The reversal of 482188140 is 41881284.

It is a happy number.

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 = 482188095 and 482188104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1145130 + ... + 1145550.

Almost surely, 2482188140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482188140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874998432).

482188140 is an abundant number, since it is smaller than the sum of its proper divisors (1267808724).

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

482188140 is a wasteful number, since it uses less digits than its factorization.

482188140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 482188140 is about 21958.7827531491. The cubic root of 482188140 is about 784.1614858073.

The spelling of 482188140 in words is "four hundred eighty-two million, one hundred eighty-eight thousand, one hundred forty".