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475082048 = 2672197769
BaseRepresentation
bin11100010100010…
…010110101000000
31020002221200001102
4130110102311000
51433110111143
6115050353532
714526062600
oct3424226500
91202850042
10475082048
112241981a1
1211312b8a8
137756c34c
144714ac00
152ba950b8
hex1c512d40

475082048 has 84 divisors (see below), whose sum is σ = 1103657940. Its totient is φ = 202309632.

The previous prime is 475081987. The next prime is 475082057. The reversal of 475082048 is 840280574.

It can be written as a sum of positive squares in 2 ways, for example, as 358269184 + 116812864 = 18928^2 + 10808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617408 + ... + 618176.

It is an arithmetic number, because the mean of its divisors is an integer number (13138785).

Almost surely, 2475082048 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 475082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551828970).

475082048 is an abundant number, since it is smaller than the sum of its proper divisors (628575892).

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

475082048 is a wasteful number, since it uses less digits than its factorization.

475082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 475082048 is about 21796.3769466395. The cubic root of 475082048 is about 780.2902973799.

The spelling of 475082048 in words is "four hundred seventy-five million, eighty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 197 224 392 394 448 769 784 788 1379 1538 1568 1576 2758 3076 3136 3152 5383 5516 6152 6304 9653 10766 11032 12304 12608 19306 21532 22064 24608 37681 38612 43064 44128 49216 75362 77224 86128 88256 150724 151493 154448 172256 301448 302986 308896 344512 602896 605972 617792 1060451 1205792 1211944 2120902 2411584 2423888 4241804 4847776 7423157 8483608 9695552 14846314 16967216 29692628 33934432 59385256 67868864 118770512 237541024 475082048