Search a number
-
+
58328292 = 223112172139
BaseRepresentation
bin1101111010000…
…0010011100100
311001202101101010
43132200103210
5104413001132
65442102220
71305532221
oct336402344
9131671333
1058328292
112aa19a00
121764a970
13c1130a9
147a64948
1551c26cc
hex37a04e4

58328292 has 108 divisors (see below), whose sum is σ = 160057520. Its totient is φ = 16515840.

The previous prime is 58328279. The next prime is 58328311. The reversal of 58328292 is 29282385.

It is a self number, because there is not a number n which added to its sum of digits gives 58328292.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 419559 + ... + 419697.

Almost surely, 258328292 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 58328292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028760).

58328292 is an abundant number, since it is smaller than the sum of its proper divisors (101729228).

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

58328292 is a wasteful number, since it uses less digits than its factorization.

58328292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

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

The square root of 58328292 is about 7637.2961183916. The cubic root of 58328292 is about 387.8166225245.

The spelling of 58328292 in words is "fifty-eight million, three hundred twenty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 139 187 204 242 278 289 363 374 417 484 556 561 578 726 748 834 867 1122 1156 1452 1529 1668 1734 2057 2244 2363 3058 3179 3468 4114 4587 4726 6116 6171 6358 7089 8228 9174 9452 9537 12342 12716 14178 16819 18348 19074 24684 25993 28356 33638 34969 38148 40171 50457 51986 67276 69938 77979 80342 100914 103972 104907 120513 139876 155958 160684 201828 209814 241026 285923 311916 419628 441881 482052 571846 857769 883762 1143692 1325643 1715538 1767524 2651286 3431076 4860691 5302572 9721382 14582073 19442764 29164146 58328292