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2058890625 = 3256114
BaseRepresentation
bin111101010111000…
…0010110110000001
312022111011110222100
41322232002312001
513204034000000
6540145101013
7102010165401
oct17256026601
95274143870
102058890625
11967210000
12495627769
1326a72639c
14157628801
15c0b46a00
hex7ab82d81

2058890625 has 105 divisors (see below), whose sum is σ = 4089107815. Its totient is φ = 998250000.

The previous prime is 2058890579. The next prime is 2058890627. The reversal of 2058890625 is 5260988502.

The square root of 2058890625 is 45375.

It is a perfect power (a square), and thus also a powerful number.

2058890625 is a `hidden beast` number, since 2 + 0 + 588 + 9 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1803785841 + 255104784 = 42471^2 + 15972^2 .

It is not a de Polignac number, because 2058890625 - 27 = 2058890497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2058890627) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 187171870 + ... + 187171880.

Almost surely, 22058890625 is an apocalyptic number.

2058890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2058890625 is the 45375-th square number.

2058890625 is the 22688-th centered octagonal number.

It is an amenable number.

2058890625 is a deficient number, since it is larger than the sum of its proper divisors (2030217190).

2058890625 is an frugal number, since it uses more digits than its factorization.

2058890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The cubic root of 2058890625 is about 1272.1678775253.

The spelling of 2058890625 in words is "two billion, fifty-eight million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 165 225 275 363 375 495 605 625 825 1089 1125 1331 1375 1815 1875 2475 3025 3125 3993 4125 5445 5625 6655 6875 9075 9375 11979 12375 14641 15125 15625 19965 20625 27225 28125 33275 34375 43923 45375 46875 59895 61875 73205 75625 99825 103125 131769 136125 140625 166375 171875 219615 226875 299475 309375 366025 378125 499125 515625 658845 680625 831875 1098075 1134375 1497375 1546875 1830125 1890625 2495625 3294225 3403125 4159375 5490375 5671875 7486875 9150625 12478125 16471125 17015625 20796875 27451875 37434375 45753125 62390625 82355625 137259375 187171875 228765625 411778125 686296875 2058890625