Search a number
-
+
58804480 = 28576563
BaseRepresentation
bin1110000001010…
…0100100000000
311002122120120201
43200110210000
5110023220410
65500214544
71312554430
oct340244400
9132576521
1058804480
1130214749
121783a454
13c24ba67
147b4a2c0
15526883a
hex3814900

58804480 has 72 divisors (see below), whose sum is σ = 161001792. Its totient is φ = 20158464.

The previous prime is 58804469. The next prime is 58804483. The reversal of 58804480 is 8440885.

It is not an unprimeable number, because it can be changed into a prime (58804483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5679 + ... + 12241.

It is an arithmetic number, because the mean of its divisors is an integer number (2236136).

Almost surely, 258804480 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 58804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80500896).

58804480 is an abundant number, since it is smaller than the sum of its proper divisors (102197312).

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

58804480 is an equidigital number, since it uses as much as digits as its factorization.

58804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 58804480 is about 7668.4079182057. The cubic root of 58804480 is about 388.8691325413.

The spelling of 58804480 in words is "fifty-eight million, eight hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 6563 8960 13126 26252 32815 45941 52504 65630 91882 105008 131260 183764 210016 229705 262520 367528 420032 459410 525040 735056 840064 918820 1050080 1470112 1680128 1837640 2100160 2940224 3675280 4200320 5880448 7350560 8400640 11760896 14701120 29402240 58804480