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478134525 = 352112194759
BaseRepresentation
bin11100011111111…
…100000011111101
31020022200202021010
4130133330003331
51434400301100
6115240025433
714564035131
oct3437740375
91208622233
10478134525
11225992600
12114162279
137809a84b
14477033c1
152be99750
hex1c7fc0fd

478134525 has 144 divisors (see below), whose sum is σ = 949939200. Its totient is φ = 211305600.

The previous prime is 478134499. The next prime is 478134539. The reversal of 478134525 is 525431874.

478134525 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 478134525 - 220 = 477085949 is a prime.

It is a super-2 number, since 2×4781345252 = 457225247993951250, which contains 22 as substring.

Its product of digits (134400) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8103946 + ... + 8104004.

It is an arithmetic number, because the mean of its divisors is an integer number (6596800).

Almost surely, 2478134525 is an apocalyptic number.

It is an amenable number.

478134525 is a deficient number, since it is larger than the sum of its proper divisors (471804675).

478134525 is a wasteful number, since it uses less digits than its factorization.

478134525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 478134525 is about 21866.2874077883. The cubic root of 478134525 is about 781.9578936345.

The spelling of 478134525 in words is "four hundred seventy-eight million, one hundred thirty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 19 25 33 47 55 57 59 75 95 121 141 165 177 209 235 275 285 295 363 475 517 605 627 649 705 825 885 893 1045 1121 1175 1425 1475 1551 1815 1947 2299 2585 2679 2773 3025 3135 3245 3363 3525 4425 4465 5225 5605 5687 6897 7139 7755 8319 9075 9735 9823 11495 12331 12925 13395 13865 15675 16225 16815 17061 21417 22325 28025 28435 29469 30503 34485 35695 36993 38775 41595 48675 49115 52687 57475 61655 66975 69325 84075 85305 91509 107085 108053 135641 142175 147345 152515 158061 172425 178475 184965 207975 245575 263435 308275 324159 335533 406923 426525 457545 535425 540265 579557 678205 736725 762575 790305 924825 1006599 1317175 1620795 1677665 1738671 2034615 2287725 2701325 2897785 3391025 3951525 5032995 6375127 8103975 8388325 8693355 10173075 14488925 19125381 25164975 31875635 43466775 95626905 159378175 478134525