Search a number
-
+
42310304 = 2529127359
BaseRepresentation
bin1010000101100…
…1101010100000
32221121120211022
42201121222200
541312412204
64110505012
71022426441
oct241315240
987546738
1042310304
11219793a3
1212205168
1389c52aa
1458952c8
153aab5be
hex2859aa0

42310304 has 48 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 20208384.

The previous prime is 42310291. The next prime is 42310313. The reversal of 42310304 is 40301324.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117677 + ... + 118035.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 242310304 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 42310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

42310304 is an abundant number, since it is smaller than the sum of its proper divisors (44780896).

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

42310304 is a wasteful number, since it uses less digits than its factorization.

42310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42310304 is about 6504.6371151664. The cubic root of 42310304 is about 348.4566164406.

Adding to 42310304 its reverse (40301324), we get a palindrome (82611628).

The spelling of 42310304 in words is "forty-two million, three hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 127 232 254 359 464 508 718 928 1016 1436 2032 2872 3683 4064 5744 7366 10411 11488 14732 20822 29464 41644 45593 58928 83288 91186 117856 166576 182372 333152 364744 729488 1322197 1458976 2644394 5288788 10577576 21155152 42310304