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475445328 = 243231273391
BaseRepresentation
bin11100010101101…
…011100001010000
31020010122010101020
4130111223201100
51433203222303
6115102235440
714532134661
oct3425534120
91203563336
10475445328
11224416126
12113285b80
13776687c7
1447203368
152bb17a53
hex1c56b850

475445328 has 80 divisors (see below), whose sum is σ = 1292107776. Its totient is φ = 150353280.

The previous prime is 475445297. The next prime is 475445431. The reversal of 475445328 is 823544574.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 475445328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138513 + ... + 141903.

Almost surely, 2475445328 is an apocalyptic number.

475445328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475445328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646053888).

475445328 is an abundant number, since it is smaller than the sum of its proper divisors (816662448).

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

475445328 is a wasteful number, since it uses less digits than its factorization.

475445328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3546 counting only the distinct ones).

The product of its digits is 537600, while the sum is 42.

The square root of 475445328 is about 21804.7088492371. The cubic root of 475445328 is about 780.4891343591.

The spelling of 475445328 in words is "four hundred seventy-five million, four hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 127 138 184 254 276 368 381 508 552 762 1016 1104 1524 2032 2921 3048 3391 5842 6096 6782 8763 10173 11684 13564 17526 20346 23368 27128 35052 40692 46736 54256 70104 77993 81384 140208 155986 162768 233979 311972 430657 467958 623944 861314 935916 1247888 1291971 1722628 1871832 2583942 3445256 3743664 5167884 6890512 9905111 10335768 19810222 20671536 29715333 39620444 59430666 79240888 118861332 158481776 237722664 475445328