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290057625 = 33531113601
BaseRepresentation
bin10001010010011…
…110110110011001
3202012210110021000
4101102132312121
51043223321000
644440535213
710121310024
oct2122366631
9665713230
10290057625
11139803650
1281181509
1348129540
142a7461bb
151a6e8000
hex1149ed99

290057625 has 128 divisors (see below), whose sum is σ = 631088640. Its totient is φ = 129600000.

The previous prime is 290057597. The next prime is 290057639. The reversal of 290057625 is 526750092.

290057625 is a `hidden beast` number, since 29 + 0 + 0 + 5 + 7 + 625 = 666.

It is not a de Polignac number, because 290057625 - 213 = 290049433 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 290057625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482325 + ... + 482925.

It is an arithmetic number, because the mean of its divisors is an integer number (4930380).

Almost surely, 2290057625 is an apocalyptic number.

290057625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

290057625 is an abundant number, since it is smaller than the sum of its proper divisors (341031015).

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

290057625 is a wasteful number, since it uses less digits than its factorization.

290057625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 290057625 is about 17031.0782101428. The cubic root of 290057625 is about 661.9544339657.

The spelling of 290057625 in words is "two hundred ninety million, fifty-seven thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 27 33 39 45 55 65 75 99 117 125 135 143 165 195 225 275 297 325 351 375 429 495 585 601 675 715 825 975 1125 1287 1375 1485 1625 1755 1803 2145 2475 2925 3005 3375 3575 3861 4125 4875 5409 6435 6611 7425 7813 8775 9015 10725 12375 14625 15025 16227 17875 19305 19833 23439 27045 32175 33055 37125 39065 43875 45075 53625 59499 70317 75125 81135 85943 96525 99165 117195 135225 160875 165275 178497 195325 210951 225375 257829 297495 351585 405675 429715 482625 495825 585975 676125 773487 826375 892485 976625 1054755 1289145 1487475 1757925 2028375 2148575 2320461 2479125 2929875 3867435 4462425 5273775 6445725 7437375 8789625 10742875 11602305 19337175 22312125 26368875 32228625 58011525 96685875 290057625