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476142381 = 341121337101
BaseRepresentation
bin11100011000010…
…101101100101101
31020011221112120000
4130120111230231
51433343024011
6115125214513
714541100131
oct3430255455
91204845500
10476142381
11224851900
12113561439
1377850b70
14473453c1
152bc04356
hex1c615b2d

476142381 has 120 divisors (see below), whose sum is σ = 873270552. Its totient is φ = 256608000.

The previous prime is 476142379. The next prime is 476142391. The reversal of 476142381 is 183241674.

476142381 is a `hidden beast` number, since 4 + 7 + 614 + 2 + 38 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206066025 + 270076356 = 14355^2 + 16434^2 .

It is not a de Polignac number, because 476142381 - 21 = 476142379 is a prime.

It is a super-2 number, since 2×4761423812 = 453423133968698322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476142391) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4714231 + ... + 4714331.

Almost surely, 2476142381 is an apocalyptic number.

It is an amenable number.

476142381 is a deficient number, since it is larger than the sum of its proper divisors (397128171).

476142381 is a wasteful number, since it uses less digits than its factorization.

476142381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 476142381 is about 21820.6869965178. The cubic root of 476142381 is about 780.8703745722.

The spelling of 476142381 in words is "four hundred seventy-six million, one hundred forty-two thousand, three hundred eighty-one".

Divisors: 1 3 9 11 13 27 33 37 39 81 99 101 111 117 121 143 297 303 333 351 363 407 429 481 891 909 999 1053 1089 1111 1221 1287 1313 1443 1573 2727 2997 3267 3333 3663 3737 3861 3939 4329 4477 4719 5291 8181 9801 9999 10989 11211 11583 11817 12221 12987 13431 14157 14443 15873 29997 32967 33633 35451 36663 38961 40293 41107 42471 43329 47619 48581 58201 89991 100899 106353 109989 120879 123321 127413 129987 142857 145743 158873 174603 302697 329967 362637 369963 389961 428571 437229 452177 476619 523809 534391 989901 1109889 1169883 1311687 1356531 1429857 1571427 1603173 3329667 3935061 4069593 4289571 4714281 4809519 5878301 12208779 12868713 14428557 17634903 36626337 43285671 52904709 158714127 476142381