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58232304 = 24331310369
BaseRepresentation
bin1101111000100…
…0110111110000
311001120111201000
43132020313300
5104401413204
65440042000
71304652324
oct336106760
9131514630
1058232304
112a963879
1217603300
13c0ab4b0
147a3b984
1551a4039
hex3788df0

58232304 has 80 divisors (see below), whose sum is σ = 180023200. Its totient is φ = 17915904.

The previous prime is 58232303. The next prime is 58232309. The reversal of 58232304 is 40323285.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58232303) 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, 432 + ... + 10800.

It is an arithmetic number, because the mean of its divisors is an integer number (2250290).

Almost surely, 258232304 is an apocalyptic number.

58232304 is a gapful number since it is divisible by the number (54) 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 58232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90011600).

58232304 is an abundant number, since it is smaller than the sum of its proper divisors (121790896).

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

58232304 is a wasteful number, since it uses less digits than its factorization.

58232304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 58232304 is about 7631.0093696706. The cubic root of 58232304 is about 387.6037688100.

Adding to 58232304 its reverse (40323285), we get a palindrome (98555589).

The spelling of 58232304 in words is "fifty-eight million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 10369 20738 31107 41476 62214 82952 93321 124428 134797 165904 186642 248856 269594 279963 373284 404391 497712 539188 559926 746568 808782 1078376 1119852 1213173 1493136 1617564 2156752 2239704 2426346 3235128 3639519 4479408 4852692 6470256 7279038 9705384 14558076 19410768 29116152 58232304