Search a number
-
+
487623240 = 233551317227
BaseRepresentation
bin11101000100001…
…000101001001000
31020222112211100000
4131010020221020
51444312420430
6120215243000
715040505046
oct3504105110
91228484300
10487623240
11230283615
12117379460
137a040780
1448a93396
152cc20e60
hex1d108a48

487623240 has 384 divisors, whose sum is σ = 1882258560. Its totient is φ = 112472064.

The previous prime is 487623229. The next prime is 487623247. The reversal of 487623240 is 42326784.

487623240 is a `hidden beast` number, since 4 + 8 + 7 + 623 + 24 + 0 = 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 = 487623195 and 487623204.

It is not an unprimeable number, because it can be changed into a prime (487623247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2148007 + ... + 2148233.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2487623240 is an apocalyptic number.

487623240 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 487623240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

487623240 is an abundant number, since it is smaller than the sum of its proper divisors (1394635320).

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

487623240 is a wasteful number, since it uses less digits than its factorization.

487623240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 487623240 is about 22082.1928258948. The cubic root of 487623240 is about 787.0967731612.

The spelling of 487623240 in words is "four hundred eighty-seven million, six hundred twenty-three thousand, two hundred forty".