Search a number
-
+
58334892 = 223721129311
BaseRepresentation
bin1101111010000…
…1111010101100
311001202201102120
43132201322230
5104413204032
65442152540
71305560400
oct336417254
9131681376
1058334892
112aa23960
1217652750
13c1160b5
147a67100
1551c462c
hex37a1eac

58334892 has 144 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 14582400.

The previous prime is 58334891. The next prime is 58334933. The reversal of 58334892 is 29843385.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (58334891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187417 + ... + 187727.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 258334892 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 58334892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

58334892 is an abundant number, since it is smaller than the sum of its proper divisors (120927828).

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

58334892 is a wasteful number, since it uses less digits than its factorization.

58334892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 58334892 is about 7637.7281962636. The cubic root of 58334892 is about 387.8312494639.

The spelling of 58334892 in words is "fifty-eight million, three hundred thirty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 49 58 66 77 84 87 98 116 132 147 154 174 196 203 231 294 308 311 319 348 406 462 539 588 609 622 638 812 924 933 957 1078 1218 1244 1276 1421 1617 1866 1914 2156 2177 2233 2436 2842 3234 3421 3732 3828 4263 4354 4466 5684 6468 6531 6699 6842 8526 8708 8932 9019 10263 13062 13398 13684 15239 15631 17052 18038 20526 23947 26124 26796 27057 30478 31262 36076 41052 45717 46893 47894 54114 60956 62524 63133 71841 91434 93786 95788 99209 108228 126266 143682 167629 182868 187572 189399 198418 252532 287364 297627 335258 378798 396836 441931 502887 595254 670516 694463 757596 883862 1005774 1190508 1325793 1388926 1767724 2011548 2083389 2651586 2777852 4166778 4861241 5303172 8333556 9722482 14583723 19444964 29167446 58334892