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58230414 = 2341141797
BaseRepresentation
bin1101111000100…
…0011010001110
311001120102010000
43132020122032
5104401333124
65440025130
71304643654
oct336103216
9131512100
1058230414
112a962410
12176021a6
13c0aa688
147a3add4
1551a36c9
hex378868e

58230414 has 80 divisors (see below), whose sum is σ = 145995696. Its totient is φ = 17193600.

The previous prime is 58230409. The next prime is 58230427. The reversal of 58230414 is 41403285.

58230414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×582304142 = 6781562229222792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 72664 + ... + 73460.

Almost surely, 258230414 is an apocalyptic number.

58230414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58230414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

58230414 is an abundant number, since it is smaller than the sum of its proper divisors (87765282).

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

58230414 is a wasteful number, since it uses less digits than its factorization.

58230414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58230414 is about 7630.8855318370. The cubic root of 58230414 is about 387.5995753813.

Adding to 58230414 its reverse (41403285), we get a palindrome (99633699).

The spelling of 58230414 in words is "fifty-eight million, two hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 246 297 369 451 594 738 797 891 902 1107 1353 1594 1782 2214 2391 2706 3321 4059 4782 6642 7173 8118 8767 12177 14346 17534 21519 24354 26301 32677 36531 43038 52602 64557 65354 73062 78903 98031 129114 157806 196062 236709 294093 359447 473418 588186 710127 718894 882279 1078341 1420254 1764558 2156682 2646837 3235023 5293674 6470046 9705069 19410138 29115207 58230414