Search a number
-
+
542542432 = 25471811993
BaseRepresentation
bin100000010101101…
…000101001100000
31101210220000022011
4200111220221200
52102342324212
6125500322304
716305351235
oct4025505140
91353800264
10542542432
11259284183
12131843394
138852bc33
14520ab78c
153296d4a7
hex20568a60

542542432 has 48 divisors (see below), whose sum is σ = 1097433792. Its totient is φ = 263900160.

The previous prime is 542542409. The next prime is 542542459. The reversal of 542542432 is 234245245.

It is a junction number, because it is equal to n+sod(n) for n = 542542394 and 542542403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271228 + ... + 273220.

It is an arithmetic number, because the mean of its divisors is an integer number (22863204).

Almost surely, 2542542432 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 542542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548716896).

542542432 is an abundant number, since it is smaller than the sum of its proper divisors (554891360).

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

542542432 is a wasteful number, since it uses less digits than its factorization.

542542432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2223 counting only the distinct ones).

The product of its digits is 38400, while the sum is 31.

The square root of 542542432 is about 23292.5402650720. The cubic root of 542542432 is about 815.6012886184.

Adding to 542542432 its reverse (234245245), we get a palindrome (776787677).

The spelling of 542542432 in words is "five hundred forty-two million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 94 181 188 362 376 724 752 1448 1504 1993 2896 3986 5792 7972 8507 15944 17014 31888 34028 63776 68056 93671 136112 187342 272224 360733 374684 721466 749368 1442932 1498736 2885864 2997472 5771728 11543456 16954451 33908902 67817804 135635608 271271216 542542432