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475707141 = 337213171627
BaseRepresentation
bin11100010110101…
…011011100000101
31020011010102112000
4130112223130011
51433240112031
6115112015513
714534305200
oct3426533405
91204112460
10475707141
112245848a8
12113391599
137772aa20
1447270937
152bb6a3e6
hex1c5ab705

475707141 has 96 divisors (see below), whose sum is σ = 935383680. Its totient is φ = 236017152.

The previous prime is 475707139. The next prime is 475707143. The reversal of 475707141 is 141707574.

475707141 is a `hidden beast` number, since 47 + 570 + 7 + 1 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (475707139) and next prime (475707143).

It is not a de Polignac number, because 475707141 - 21 = 475707139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 475707096 and 475707105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475707143) 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, 291570 + ... + 293196.

It is an arithmetic number, because the mean of its divisors is an integer number (9743580).

Almost surely, 2475707141 is an apocalyptic number.

It is an amenable number.

475707141 is a deficient number, since it is larger than the sum of its proper divisors (459676539).

475707141 is a wasteful number, since it uses less digits than its factorization.

475707141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 475707141 is about 21810.7116114995. The cubic root of 475707141 is about 780.6323717921.

The spelling of 475707141 in words is "four hundred seventy-five million, seven hundred seven thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 17 21 27 39 49 51 63 91 117 119 147 153 189 221 273 351 357 441 459 637 663 819 833 1071 1323 1547 1627 1911 1989 2457 2499 3213 4641 4881 5733 5967 7497 10829 11389 13923 14643 17199 21151 22491 27659 32487 34167 41769 43929 63453 79723 82977 97461 102501 148057 190359 193613 239169 248931 292383 307503 359567 444171 571077 580839 717507 746793 1036399 1078701 1332513 1355291 1742517 2152521 2516969 3109197 3236103 3997539 4065873 5227551 7550907 9327591 9708309 12197619 17618783 22652721 27982773 36592857 52856349 67958163 158569047 475707141