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42438984 = 23371571609
BaseRepresentation
bin1010000111100…
…1000101001000
32221212010100020
42201321011020
541331021414
64113340440
71023503550
oct241710510
987763306
1042438984
1121a57045
1212267720
138a3ba33
1458ca160
153ad47a9
hex2879148

42438984 has 64 divisors (see below), whose sum is σ = 122102400. Its totient is φ = 12040704.

The previous prime is 42438983. The next prime is 42439013. The reversal of 42438984 is 48983424.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42438983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25572 + ... + 27180.

It is an arithmetic number, because the mean of its divisors is an integer number (1907850).

Almost surely, 242438984 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 42438984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61051200).

42438984 is an abundant number, since it is smaller than the sum of its proper divisors (79663416).

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

42438984 is a wasteful number, since it uses less digits than its factorization.

42438984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1778 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 42438984 is about 6514.5210107881. The cubic root of 42438984 is about 348.8095172122.

The spelling of 42438984 in words is "forty-two million, four hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1609 1884 2198 3218 3297 3768 4396 4827 6436 6594 8792 9654 11263 12872 13188 19308 22526 26376 33789 38616 45052 67578 90104 135156 252613 270312 505226 757839 1010452 1515678 1768291 2020904 3031356 3536582 5304873 6062712 7073164 10609746 14146328 21219492 42438984