Search a number
-
+
58000000 = 275629
BaseRepresentation
bin1101110101000…
…0001010000000
311001010201001011
43131100022000
5104322000000
65431050304
71302664132
oct335201200
9131121034
1058000000
112a815293
1217510994
13c029836
1479bb052
15515a2ba
hex3750280

58000000 has 112 divisors (see below), whose sum is σ = 149412150. Its totient is φ = 22400000.

The previous prime is 57999941. The next prime is 58000003. The reversal of 58000000 is 85.

Adding to 58000000 its reverse (85), we get a palindrome (58000085).

It can be written as a sum of positive squares in 7 ways, for example, as 30206016 + 27793984 = 5496^2 + 5272^2 .

It is not an unprimeable number, because it can be changed into a prime (58000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999986 + ... + 2000014.

Almost surely, 258000000 is an apocalyptic number.

58000000 is a gapful number since it is divisible by the number (50) 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 58000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74706075).

58000000 is an abundant number, since it is smaller than the sum of its proper divisors (91412150).

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

58000000 is an frugal number, since it uses more digits than its factorization.

58000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 58000000 is about 7615.7731058639. The cubic root of 58000000 is about 387.0876640628.

The spelling of 58000000 in words is "fifty-eight million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3125 3200 3625 3712 4000 4640 5000 5800 6250 7250 8000 9280 10000 11600 12500 14500 15625 16000 18125 18560 20000 23200 25000 29000 31250 36250 40000 46400 50000 58000 62500 72500 80000 90625 92800 100000 116000 125000 145000 181250 200000 232000 250000 290000 362500 400000 453125 464000 500000 580000 725000 906250 1000000 1160000 1450000 1812500 2000000 2320000 2900000 3625000 5800000 7250000 11600000 14500000 29000000 58000000