Search a number
-
+
58669312 = 281317261
BaseRepresentation
bin1101111111001…
…1100100000000
311002101201011111
43133303210000
5110004404222
65453253104
71311452362
oct337634400
9132351144
1058669312
1130132139
1217794194
13c202390
147b12d32
15523d777
hex37f3900

58669312 has 108 divisors (see below), whose sum is σ = 136169236. Its totient is φ = 25067520.

The previous prime is 58669307. The next prime is 58669327. The reversal of 58669312 is 21396685.

58669312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2359296 + 56310016 = 1536^2 + 7504^2 .

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 11 ways as a sum of consecutive naturals, for example, 961762 + ... + 961822.

Almost surely, 258669312 is an apocalyptic number.

58669312 is a gapful number since it is divisible by the number (52) 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 58669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68084618).

58669312 is an abundant number, since it is smaller than the sum of its proper divisors (77499924).

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

58669312 is a wasteful number, since it uses less digits than its factorization.

58669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 58669312 is about 7659.5895451388. The cubic root of 58669312 is about 388.5709523804.

The spelling of 58669312 in words is "fifty-eight million, six hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 61 64 68 104 122 128 136 208 221 244 256 272 289 416 442 488 544 578 793 832 884 976 1037 1088 1156 1586 1664 1768 1952 2074 2176 2312 3172 3328 3536 3757 3904 4148 4352 4624 6344 7072 7514 7808 8296 9248 12688 13481 14144 15028 15616 16592 17629 18496 25376 26962 28288 30056 33184 35258 36992 50752 53924 56576 60112 66368 70516 73984 101504 107848 120224 132736 141032 203008 215696 229177 240448 265472 282064 431392 458354 480896 564128 862784 916708 961792 1128256 1725568 1833416 2256512 3451136 3666832 4513024 7333664 14667328 29334656 58669312