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58338225 = 37521197
BaseRepresentation
bin1101111010001…
…0101110110001
311001202220000000
43132202232301
5104413310400
65442220213
71305603201
oct336425661
9131686000
1058338225
112aa26410
1217654669
13c11777a
147a68401
1551c5600
hex37a2bb1

58338225 has 96 divisors (see below), whose sum is σ = 119575680. Its totient is φ = 27993600.

The previous prime is 58338221. The next prime is 58338253. The reversal of 58338225 is 52283385.

It is not a de Polignac number, because 58338225 - 22 = 58338221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58338225.

It is not an unprimeable number, because it can be changed into a prime (58338221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 601377 + ... + 601473.

It is an arithmetic number, because the mean of its divisors is an integer number (1245580).

Almost surely, 258338225 is an apocalyptic number.

58338225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58338225 is an abundant number, since it is smaller than the sum of its proper divisors (61237455).

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

58338225 is an equidigital number, since it uses as much as digits as its factorization.

58338225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 58338225 is about 7637.9463863004. The cubic root of 58338225 is about 387.8386356490.

The spelling of 58338225 in words is "fifty-eight million, three hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 97 99 135 165 225 243 275 291 297 405 485 495 675 729 825 873 891 1067 1215 1455 1485 2025 2187 2425 2475 2619 2673 3201 3645 4365 4455 5335 6075 7275 7425 7857 8019 9603 10935 13095 13365 16005 18225 21825 22275 23571 24057 26675 28809 39285 40095 48015 54675 65475 66825 70713 80025 86427 117855 120285 144045 196425 200475 212139 240075 259281 353565 432135 589275 601425 720225 777843 1060695 1296405 1767825 2160675 2333529 3889215 5303475 6482025 11667645 19446075 58338225