Search a number
-
+
42387984 = 2432476263
BaseRepresentation
bin1010000110110…
…0101000010000
32221202112101100
42201230220100
541322403414
64112304400
71023202062
oct241545020
987675340
1042387984
1121a217a1
1212242100
138a21762
1458b5732
153ac4609
hex286ca10

42387984 has 60 divisors (see below), whose sum is σ = 121170816. Its totient is φ = 13826496.

The previous prime is 42387979. The next prime is 42388009. The reversal of 42387984 is 48978324.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3637 + ... + 9899.

Almost surely, 242387984 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 42387984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60585408).

42387984 is an abundant number, since it is smaller than the sum of its proper divisors (78782832).

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

42387984 is a wasteful number, since it uses less digits than its factorization.

42387984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6315 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 42387984 is about 6510.6055017947. The cubic root of 42387984 is about 348.6697367996.

The spelling of 42387984 in words is "forty-two million, three hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6263 6768 12526 18789 25052 37578 50104 56367 75156 100208 112734 150312 225468 294361 300624 450936 588722 883083 901872 1177444 1766166 2354888 2649249 3532332 4709776 5298498 7064664 10596996 14129328 21193992 42387984