Search a number
-
+
58245248 = 271273583
BaseRepresentation
bin1101111000110…
…0000010000000
311001121011110102
43132030002000
5104402321443
65440221532
71305035135
oct336140200
9131534412
1058245248
112a972576
121760a8a8
13c0b4359
147a4258c
1551a7cb8
hex378c080

58245248 has 32 divisors (see below), whose sum is σ = 116981760. Its totient is φ = 28885248.

The previous prime is 58245233. The next prime is 58245283. The reversal of 58245248 is 84254285.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14465 + ... + 18047.

It is an arithmetic number, because the mean of its divisors is an integer number (3655680).

Almost surely, 258245248 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 58245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58490880).

58245248 is an abundant number, since it is smaller than the sum of its proper divisors (58736512).

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

58245248 is a wasteful number, since it uses less digits than its factorization.

58245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3712 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

The square root of 58245248 is about 7631.8574410166. The cubic root of 58245248 is about 387.6324858115.

The spelling of 58245248 in words is "fifty-eight million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 2032 3583 4064 7166 8128 14332 16256 28664 57328 114656 229312 455041 458624 910082 1820164 3640328 7280656 14561312 29122624 58245248