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58320352 = 2553137251
BaseRepresentation
bin1101111001111…
…0010111100000
311001201222111001
43132132113200
5104412222402
65442001344
71305500116
oct336362740
9131658431
1058320352
112aa13a42
1217646254
13c10c5ac
147a61ab6
1551c0187
hex379e5e0

58320352 has 48 divisors (see below), whose sum is σ = 118307952. Its totient is φ = 28288000.

The previous prime is 58320349. The next prime is 58320359. The reversal of 58320352 is 25302385.

It is a self number, because there is not a number n which added to its sum of digits gives 58320352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58320359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232227 + ... + 232477.

It is an arithmetic number, because the mean of its divisors is an integer number (2464749).

Almost surely, 258320352 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 58320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59153976).

58320352 is an abundant number, since it is smaller than the sum of its proper divisors (59987600).

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

58320352 is a wasteful number, since it uses less digits than its factorization.

58320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 58320352 is about 7636.7762832232. The cubic root of 58320352 is about 387.7990244110.

The spelling of 58320352 in words is "fifty-eight million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 106 137 212 251 274 424 502 548 848 1004 1096 1696 2008 2192 4016 4384 7261 8032 13303 14522 26606 29044 34387 53212 58088 68774 106424 116176 137548 212848 232352 275096 425696 550192 1100384 1822511 3645022 7290044 14580088 29160176 58320352