Search a number
-
+
490361472 = 27332331199
BaseRepresentation
bin11101001110100…
…101001010000000
31021011200221111000
4131032211022000
52001013031342
6120354052000
715103001166
oct3516451200
91234627430
10490361472
11231883917
1211827a000
137a78bc23
14491a7236
152d0b244c
hex1d3a5280

490361472 has 256 divisors, whose sum is σ = 1566720000. Its totient is φ = 150543360.

The previous prime is 490361467. The next prime is 490361483. The reversal of 490361472 is 274163094.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

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, 2464029 + ... + 2464227.

It is an arithmetic number, because the mean of its divisors is an integer number (6120000).

Almost surely, 2490361472 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 490361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783360000).

490361472 is an abundant number, since it is smaller than the sum of its proper divisors (1076358528).

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

490361472 is a wasteful number, since it uses less digits than its factorization.

490361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 490361472 is about 22144.1069361580. The cubic root of 490361472 is about 788.5673291712.

The spelling of 490361472 in words is "four hundred ninety million, three hundred sixty-one thousand, four hundred seventy-two".