Search a number
-
+
482314140 = 22325711172389
BaseRepresentation
bin11100101111111…
…000011110011100
31020121120002121200
4130233320132130
51441433023030
6115505355500
714644413450
oct3457703634
91217502550
10482314140
11228287830
12115638b90
1378c020a9
14480b0660
152c522d60
hex1cbf879c

482314140 has 576 divisors, whose sum is σ = 2037934080. Its totient is φ = 89210880.

The previous prime is 482314127. The next prime is 482314169. The reversal of 482314140 is 41413284.

482314140 is a `hidden beast` number, since 482 + 3 + 141 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5419216 + ... + 5419304.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2482314140 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 482314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018967040).

482314140 is an abundant number, since it is smaller than the sum of its proper divisors (1555619940).

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

482314140 is a wasteful number, since it uses less digits than its factorization.

482314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 482314140 is about 21961.6515772380. The cubic root of 482314140 is about 784.2297826221.

The spelling of 482314140 in words is "four hundred eighty-two million, three hundred fourteen thousand, one hundred forty".