Search a number
-
+
58435468 = 22713253233
BaseRepresentation
bin1101111011101…
…0011110001100
311001221211101121
43132322132030
5104424413333
65444250324
71306456540
oct336723614
9131854347
1058435468
112aa92483
12176a09a4
13c14cb00
147a91a20
1551e432d
hex37ba78c

58435468 has 72 divisors (see below), whose sum is σ = 129493728. Its totient is φ = 22583808.

The previous prime is 58435441. The next prime is 58435529. The reversal of 58435468 is 86453485.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250680 + ... + 250912.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524).

Almost surely, 258435468 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 58435468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64746864).

58435468 is an abundant number, since it is smaller than the sum of its proper divisors (71058260).

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

58435468 is a wasteful number, since it uses less digits than its factorization.

58435468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The square root of 58435468 is about 7644.3095175431. The cubic root of 58435468 is about 388.0540099115.

It can be divided in two parts, 5843 and 5468, that added together give a palindrome (11311).

The spelling of 58435468 in words is "fifty-eight million, four hundred thirty-five thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 169 182 212 233 338 364 371 466 676 689 742 932 1183 1378 1484 1631 2366 2756 3029 3262 4732 4823 6058 6524 8957 9646 12116 12349 17914 19292 21203 24698 35828 39377 42406 49396 62699 78754 84812 86443 125398 157508 160537 172886 250796 275639 321074 345772 551278 642148 1102556 1123759 2086981 2247518 4173962 4495036 8347924 14608867 29217734 58435468