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42478368 = 2533711959
BaseRepresentation
bin1010001000001…
…0101100100000
32221221010100220
42202002230200
541333301433
64114243040
71024026432
oct242025440
987833326
1042478368
1121a83699
1212286480
138a5393a
1458da652
153ae12b3
hex2882b20

42478368 has 48 divisors (see below), whose sum is σ = 114528960. Its totient is φ = 13775616.

The previous prime is 42478363. The next prime is 42478399. The reversal of 42478368 is 86387424.

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

It is not an unprimeable number, because it can be changed into a prime (42478361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428 + ... + 9531.

It is an arithmetic number, because the mean of its divisors is an integer number (2386020).

Almost surely, 242478368 is an apocalyptic number.

42478368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42478368 is an abundant number, since it is smaller than the sum of its proper divisors (72050592).

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

42478368 is a wasteful number, since it uses less digits than its factorization.

42478368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 12001 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 42478368 is about 6517.5430953696. The cubic root of 42478368 is about 348.9173839688.

The spelling of 42478368 in words is "forty-two million, four hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 11959 23918 35877 47836 71754 95672 143508 191344 287016 382688 442483 574032 884966 1148064 1327449 1769932 2654898 3539864 5309796 7079728 10619592 14159456 21239184 42478368