Search a number
-
+
208491472 = 24721012633
BaseRepresentation
bin11000110110101…
…01001111010000
3112112022110112101
430123111033100
5411333211342
632404410144
75111101600
oct1433251720
9475273471
10208491472
11a7762802
12599a6954
133426b347
141d992c00
15134853b7
hexc6d53d0

208491472 has 60 divisors (see below), whose sum is σ = 474736356. Its totient is φ = 88435200.

The previous prime is 208491457. The next prime is 208491497. The reversal of 208491472 is 274194802.

208491472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 81793936 = 11256^2 + 9044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77868 + ... + 80500.

Almost surely, 2208491472 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 208491472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237368178).

208491472 is an abundant number, since it is smaller than the sum of its proper divisors (266244884).

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

208491472 is a wasteful number, since it uses less digits than its factorization.

208491472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 208491472 is about 14439.2337746849. The cubic root of 208491472 is about 592.9655081095.

The spelling of 208491472 in words is "two hundred eight million, four hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 1414 1616 2633 2828 4949 5266 5656 9898 10532 11312 18431 19796 21064 36862 39592 42128 73724 79184 129017 147448 258034 265933 294896 516068 531866 1032136 1063732 1861531 2064272 2127464 3723062 4254928 7446124 13030717 14892248 26061434 29784496 52122868 104245736 208491472