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476975052 = 223217312811
BaseRepresentation
bin11100011011100…
…000111111001100
31020020111211202200
4130123200333030
51434101200202
6115155121500
714551135551
oct3433407714
91206454680
10476975052
11225270464
121138a3290
1377a82b78
14474c0a28
152bd1ae1c
hex1c6e0fcc

476975052 has 108 divisors (see below), whose sum is σ = 1320745608. Its totient is φ = 144633600.

The previous prime is 476974997. The next prime is 476975053. The reversal of 476975052 is 250579674.

It is a junction number, because it is equal to n+sod(n) for n = 476974989 and 476975007.

It is not an unprimeable number, because it can be changed into a prime (476975053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 587727 + ... + 588537.

It is an arithmetic number, because the mean of its divisors is an integer number (12229126).

Almost surely, 2476975052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476975052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660372804).

476975052 is an abundant number, since it is smaller than the sum of its proper divisors (843770556).

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

476975052 is a wasteful number, since it uses less digits than its factorization.

476975052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 476975052 is about 21839.7585151485. The cubic root of 476975052 is about 781.3253011408.

The spelling of 476975052 in words is "four hundred seventy-six million, nine hundred seventy-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 811 961 1054 1116 1581 1622 1922 2108 2433 2883 3162 3244 3844 4743 4866 5766 6324 7299 8649 9486 9732 11532 13787 14598 16337 17298 18972 25141 27574 29196 32674 34596 41361 49011 50282 55148 65348 75423 82722 98022 100564 124083 147033 150846 165444 196044 226269 248166 294066 301692 427397 452538 496332 588132 779371 854794 905076 1282191 1558742 1709588 2338113 2564382 3117484 3846573 4676226 5128764 7014339 7693146 9352452 13249307 14028678 15386292 26498614 28057356 39747921 52997228 79495842 119243763 158991684 238487526 476975052