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2028517425 = 345211194793
BaseRepresentation
bin111100011101000…
…1011100000110001
312020101000100210000
41320322023200301
513123300024200
6533142100213
7101161053654
oct17072134061
95211010700
102028517425
11951055190
1248741a669
1326435058c
1415359d89b
15bd147300
hex78e8b831

2028517425 has 120 divisors (see below), whose sum is σ = 4315750560. Its totient is φ = 931564800.

The previous prime is 2028517391. The next prime is 2028517451. The reversal of 2028517425 is 5247158202.

It is a happy number.

It is not a de Polignac number, because 2028517425 - 27 = 2028517297 is a prime.

It is a super-2 number, since 2×20285174252 = 8229765887057261250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2028517425.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 420829 + ... + 425621.

It is an arithmetic number, because the mean of its divisors is an integer number (35964588).

Almost surely, 22028517425 is an apocalyptic number.

2028517425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2028517425 is an abundant number, since it is smaller than the sum of its proper divisors (2287233135).

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

2028517425 is a wasteful number, since it uses less digits than its factorization.

2028517425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2028517425 is about 45039.0655431482. The cubic root of 2028517425 is about 1265.8810955014.

It can be divided in two parts, 202851 and 7425, that added together give a triangular number (210276 = T648).

The spelling of 2028517425 in words is "two billion, twenty-eight million, five hundred seventeen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 27 33 45 55 57 75 81 95 99 135 165 171 209 225 275 285 297 405 475 495 513 627 675 825 855 891 1045 1425 1485 1539 1881 2025 2475 2565 3135 4275 4455 4793 5225 5643 7425 7695 9405 12825 14379 15675 16929 22275 23965 28215 38475 43137 47025 52723 71895 84645 91067 119825 129411 141075 158169 215685 263615 273201 359475 388233 423225 455335 474507 647055 790845 819603 1001737 1078425 1318075 1366005 1423521 1941165 2276675 2372535 2458809 3005211 3235275 3954225 4098015 4270563 5008685 6830025 7117605 7376427 9015633 9705825 11862675 12294045 15026055 20490075 21352815 25043425 27046899 35588025 36882135 45078165 61470225 75130275 81140697 106764075 135234495 184410675 225390825 405703485 676172475 2028517425