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58125000 = 2335731
BaseRepresentation
bin1101110110111…
…0101011001000
311001101001111210
43131232223020
5104340000000
65433453120
71304024433
oct335565310
9131331453
1058125000
112a8a019a
12175711a0
13c0716bb
147a1081a
155182350
hex376eac8

58125000 has 128 divisors (see below), whose sum is σ = 187499520. Its totient is φ = 15000000.

The previous prime is 58124999. The next prime is 58125007. The reversal of 58125000 is 52185.

It is not an unprimeable number, because it can be changed into a prime (58125007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874985 + ... + 1875015.

It is an arithmetic number, because the mean of its divisors is an integer number (1464840).

Almost surely, 258125000 is an apocalyptic number.

58125000 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 58125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93749760).

58125000 is an abundant number, since it is smaller than the sum of its proper divisors (129374520).

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

58125000 is an frugal number, since it uses more digits than its factorization.

58125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 58125000 is about 7623.9753409885. The cubic root of 58125000 is about 387.3655447498.

Adding to 58125000 its reverse (52185), we get a palindrome (58177185).

The spelling of 58125000 in words is "fifty-eight million, one hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 625 744 750 775 930 1000 1240 1250 1500 1550 1860 1875 2325 2500 3000 3100 3125 3720 3750 3875 4650 5000 6200 6250 7500 7750 9300 9375 11625 12500 15000 15500 15625 18600 18750 19375 23250 25000 31000 31250 37500 38750 46500 46875 58125 62500 75000 77500 78125 93000 93750 96875 116250 125000 155000 156250 187500 193750 232500 234375 290625 312500 375000 387500 465000 468750 484375 581250 625000 775000 937500 968750 1162500 1453125 1875000 1937500 2325000 2421875 2906250 3875000 4843750 5812500 7265625 9687500 11625000 14531250 19375000 29062500 58125000