Search a number
-
+
58730976 = 25321910733
BaseRepresentation
bin1110000000001…
…0100111100000
311002111211202100
43200002213200
5110013342401
65454450400
71312130223
oct340024740
9132454670
1058730976
11301744a7
1217803a00
13c224475
147b2b5ba
155251b86
hex38029e0

58730976 has 72 divisors (see below), whose sum is σ = 175822920. Its totient is φ = 18544896.

The previous prime is 58730963. The next prime is 58730981. The reversal of 58730976 is 67903785.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106 + ... + 10838.

It is an arithmetic number, because the mean of its divisors is an integer number (2441985).

Almost surely, 258730976 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 58730976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87911460).

58730976 is an abundant number, since it is smaller than the sum of its proper divisors (117091944).

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

58730976 is a wasteful number, since it uses less digits than its factorization.

58730976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768 (or 10757 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 58730976 is about 7663.6137689735. The cubic root of 58730976 is about 388.7070397070.

The spelling of 58730976 in words is "fifty-eight million, seven hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 10733 21466 32199 42932 64398 85864 96597 128796 171728 193194 203927 257592 343456 386388 407854 515184 611781 772776 815708 1030368 1223562 1545552 1631416 1835343 2447124 3091104 3262832 3670686 4894248 6525664 7341372 9788496 14682744 19576992 29365488 58730976