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42816160 = 255267601
BaseRepresentation
bin1010001101010…
…1001010100000
32222120021201201
42203111022200
541430104120
64125410544
71026634312
oct243251240
988507651
1042816160
1122194462
1212409a54
138b4160a
1459877b2
153b5b40a
hex28d52a0

42816160 has 24 divisors (see below), whose sum is σ = 101153556. Its totient is φ = 17126400.

The previous prime is 42816127. The next prime is 42816197. The reversal of 42816160 is 6161824.

42816160 = T159 + T160 + ... + T638.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 7246864 = 5964^2 + 2692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133641 + ... + 133960.

Almost surely, 242816160 is an apocalyptic number.

42816160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42816160 is an abundant number, since it is smaller than the sum of its proper divisors (58337396).

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

42816160 is a wasteful number, since it uses less digits than its factorization.

42816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267616 (or 267608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 42816160 is about 6543.4058409975. The cubic root of 42816160 is about 349.8398178582.

Adding to 42816160 its reverse (6161824), we get a palindrome (48977984).

The spelling of 42816160 in words is "forty-two million, eight hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 267601 535202 1070404 1338005 2140808 2676010 4281616 5352020 8563232 10704040 21408080 42816160