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42483616 = 257892131
BaseRepresentation
bin1010001000001…
…1111110100000
32221221101120021
42202003332200
541333433431
64114323224
71024050640
oct242037640
987841507
1042483616
1121a8762a
1212289514
138a56146
1458dc520
153ae2b11
hex2883fa0

42483616 has 48 divisors (see below), whose sum is σ = 96707520. Its totient is φ = 17994240.

The previous prime is 42483607. The next prime is 42483643. The reversal of 42483616 is 61638424.

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 7 ways as a sum of consecutive naturals, for example, 18871 + ... + 21001.

It is an arithmetic number, because the mean of its divisors is an integer number (2014740).

Almost surely, 242483616 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 42483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48353760).

42483616 is an abundant number, since it is smaller than the sum of its proper divisors (54223904).

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

42483616 is a wasteful number, since it uses less digits than its factorization.

42483616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2229 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 42483616 is about 6517.9456886353. The cubic root of 42483616 is about 348.9317524040.

The spelling of 42483616 in words is "forty-two million, four hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 2131 2492 2848 4262 4984 8524 9968 14917 17048 19936 29834 34096 59668 68192 119336 189659 238672 379318 477344 758636 1327613 1517272 2655226 3034544 5310452 6069088 10620904 21241808 42483616