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42484384 = 2531113379
BaseRepresentation
bin1010001000010…
…0001010100000
32221221102121201
42202010022200
541334000014
64114330544
71024053115
oct242041240
987842551
1042484384
1121a88168
1212289a54
138a565b7
1458dc90c
153ae2e74
hex28842a0

42484384 has 48 divisors (see below), whose sum is σ = 87333120. Its totient is φ = 20321280.

The previous prime is 42484369. The next prime is 42484433. The reversal of 42484384 is 48348424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111907 + ... + 112285.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 242484384 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 42484384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43666560).

42484384 is an abundant number, since it is smaller than the sum of its proper divisors (44848736).

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

42484384 is a wasteful number, since it uses less digits than its factorization.

42484384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its digits is 98304, while the sum is 37.

The square root of 42484384 is about 6518.0046026372. The cubic root of 42484384 is about 348.9338550025.

The spelling of 42484384 in words is "forty-two million, four hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 113 124 226 248 379 452 496 758 904 992 1516 1808 3032 3503 3616 6064 7006 11749 12128 14012 23498 28024 42827 46996 56048 85654 93992 112096 171308 187984 342616 375968 685232 1327637 1370464 2655274 5310548 10621096 21242192 42484384