Search a number
-
+
58543872 = 283312459
BaseRepresentation
bin1101111101010…
…0111100000000
311002011100002120
43133110330000
5104441400442
65450444240
71310420562
oct337247400
9132140076
1058543872
1130056972
1217733680
13c18a25a
147abd332
1552164ec
hex37d4f00

58543872 has 72 divisors (see below), whose sum is σ = 160903680. Its totient is φ = 18877440.

The previous prime is 58543867. The next prime is 58543889. The reversal of 58543872 is 27834585.

58543872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22579 + ... + 25037.

Almost surely, 258543872 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 58543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80451840).

58543872 is an abundant number, since it is smaller than the sum of its proper divisors (102359808).

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

58543872 is a wasteful number, since it uses less digits than its factorization.

58543872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2495 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 58543872 is about 7651.3967352373. The cubic root of 58543872 is about 388.2938221491.

The spelling of 58543872 in words is "fifty-eight million, five hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2459 2976 3968 4918 5952 7377 7936 9836 11904 14754 19672 23808 29508 39344 59016 76229 78688 118032 152458 157376 228687 236064 304916 314752 457374 472128 609832 629504 914748 944256 1219664 1829496 1888512 2439328 3658992 4878656 7317984 9757312 14635968 19514624 29271936 58543872