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42482304 = 273236877
BaseRepresentation
bin1010001000001…
…1101010000000
32221221022202200
42202003222000
541333413204
64114313200
71024044054
oct242035200
987838680
1042482304
1121a86647
1212288800
138a55677
1458dbc64
153ae2539
hex2883a80

42482304 has 48 divisors (see below), whose sum is σ = 122250570. Its totient is φ = 14160384.

The previous prime is 42482287. The next prime is 42482339. The reversal of 42482304 is 40328424.

It is a happy number.

42482304 is a `hidden beast` number, since 424 + 8 + 230 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28643904 + 13838400 = 5352^2 + 3720^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17287 + ... + 19590.

Almost surely, 242482304 is an apocalyptic number.

It is an amenable number.

42482304 is an abundant number, since it is smaller than the sum of its proper divisors (79768266).

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

42482304 is a wasteful number, since it uses less digits than its factorization.

42482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36897 (or 36882 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42482304 is about 6517.8450426502. The cubic root of 42482304 is about 348.9281604061.

It can be divided in two parts, 424 and 82304, that added together give a palindrome (82728).

The spelling of 42482304 in words is "forty-two million, four hundred eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 36877 73754 110631 147508 221262 295016 331893 442524 590032 663786 885048 1180064 1327572 1770096 2360128 2655144 3540192 4720256 5310288 7080384 10620576 14160768 21241152 42482304