Search a number
-
+
58543296 = 2637431013
BaseRepresentation
bin1101111101010…
…0110011000000
311002011022022020
43133110303000
5104441341141
65450441440
71310416110
oct337246300
9132138266
1058543296
1130056499
1217733280
13c189c06
147abd040
155216266
hex37d4cc0

58543296 has 112 divisors (see below), whose sum is σ = 181319424. Its totient is φ = 16321536.

The previous prime is 58543279. The next prime is 58543297. The reversal of 58543296 is 69234585.

58543296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (58543297) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57286 + ... + 58298.

Almost surely, 258543296 is an apocalyptic number.

58543296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58543296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90659712).

58543296 is an abundant number, since it is smaller than the sum of its proper divisors (122776128).

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

58543296 is a wasteful number, since it uses less digits than its factorization.

58543296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1068 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 58543296 is about 7651.3590949582. The cubic root of 58543296 is about 388.2925486997.

The spelling of 58543296 in words is "fifty-eight million, five hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1013 1032 1204 1344 1376 1806 2026 2064 2408 2752 3039 3612 4052 4128 4816 6078 7091 7224 8104 8256 9632 12156 14182 14448 16208 19264 21273 24312 28364 28896 32416 42546 43559 48624 56728 57792 64832 85092 87118 97248 113456 130677 170184 174236 194496 226912 261354 304913 340368 348472 453824 522708 609826 680736 696944 914739 1045416 1219652 1361472 1393888 1829478 2090832 2439304 2787776 3658956 4181664 4878608 7317912 8363328 9757216 14635824 19514432 29271648 58543296