Search a number
-
+
58428990 = 23251947727
BaseRepresentation
bin1101111011100…
…0111000111110
311001221111111200
43132320320332
5104424211430
65444200330
71306431624
oct336707076
9131844450
1058428990
112aa88624
12176990a6
13c149b89
147a8d514
1551e2460
hex37b8e3e

58428990 has 96 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 14427072.

The previous prime is 58428989. The next prime is 58428991. The reversal of 58428990 is 9982485.

It is an interprime number because it is at equal distance from previous prime (58428989) and next prime (58428991).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58428991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80007 + ... + 80733.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 258428990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58428990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

58428990 is an abundant number, since it is smaller than the sum of its proper divisors (105108930).

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

58428990 is a wasteful number, since it uses less digits than its factorization.

58428990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 58428990 is about 7643.8857919255. The cubic root of 58428990 is about 388.0396698377.

The spelling of 58428990 in words is "fifty-eight million, four hundred twenty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 47 57 90 94 95 114 141 171 190 235 282 285 342 423 470 570 705 727 846 855 893 1410 1454 1710 1786 2115 2181 2679 3635 4230 4362 4465 5358 6543 7270 8037 8930 10905 13086 13395 13813 16074 21810 26790 27626 32715 34169 40185 41439 65430 68338 69065 80370 82878 102507 124317 138130 170845 205014 207195 248634 307521 341690 414390 512535 615042 621585 649211 1025070 1243170 1298422 1537605 1947633 3075210 3246055 3895266 5842899 6492110 9738165 11685798 19476330 29214495 58428990