Search a number
-
+
542208 = 293353
BaseRepresentation
bin10000100011000000000
31000112202210
42010120000
5114322313
615342120
74415532
oct2043000
91015683
10542208
11340407
12221940
1315ca44
14101852
15aa9c3
hex84600

542208 has 40 divisors (see below), whose sum is σ = 1448568. Its totient is φ = 180224.

The previous prime is 542207. The next prime is 542219. The reversal of 542208 is 802245.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542208.

It is not an unprimeable number, because it can be changed into a prime (542207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1360 + ... + 1712.

2542208 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 542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724284).

542208 is an abundant number, since it is smaller than the sum of its proper divisors (906360).

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

542208 is an equidigital number, since it uses as much as digits as its factorization.

542208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 542208 is about 736.3477439362. The cubic root of 542208 is about 81.5433670863.

The spelling of 542208 in words is "five hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 353 384 512 706 768 1059 1412 1536 2118 2824 4236 5648 8472 11296 16944 22592 33888 45184 67776 90368 135552 180736 271104 542208