Search a number
-
+
58430928 = 2431979811
BaseRepresentation
bin1101111011100…
…1010111010000
311001221121011110
43132321113100
5104424242203
65444213320
71306440363
oct336712720
9131847143
1058430928
112aa8a026
121769a240
13c14aa1a
147a900da
1551e2d03
hex37b95d0

58430928 has 80 divisors (see below), whose sum is σ = 161100800. Its totient is φ = 18195840.

The previous prime is 58430893. The next prime is 58430929. The reversal of 58430928 is 82903485.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58430929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71643 + ... + 72453.

It is an arithmetic number, because the mean of its divisors is an integer number (2013760).

Almost surely, 258430928 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 58430928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80550400).

58430928 is an abundant number, since it is smaller than the sum of its proper divisors (102669872).

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

58430928 is a wasteful number, since it uses less digits than its factorization.

58430928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 58430928 is about 7644.0125588594. The cubic root of 58430928 is about 388.0439600172.

The spelling of 58430928 in words is "fifty-eight million, four hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 811 912 948 1264 1501 1622 1896 2433 3002 3244 3792 4503 4866 6004 6488 9006 9732 12008 12976 15409 18012 19464 24016 30818 36024 38928 46227 61636 64069 72048 92454 123272 128138 184908 192207 246544 256276 369816 384414 512552 739632 768828 1025104 1217311 1537656 2434622 3075312 3651933 4869244 7303866 9738488 14607732 19476976 29215464 58430928