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42302464 = 210109379
BaseRepresentation
bin1010000101011…
…1110000000000
32221121012001221
42201113300000
541312134324
64110404424
71022364541
oct241276000
987535057
1042302464
1121973516
1212200714
1389c1859
1458924c8
153aa90e4
hex2857c00

42302464 has 44 divisors (see below), whose sum is σ = 85564600. Its totient is φ = 20901888.

The previous prime is 42302459. The next prime is 42302467. The reversal of 42302464 is 46420324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42302467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111427 + ... + 111805.

It is an arithmetic number, because the mean of its divisors is an integer number (1944650).

Almost surely, 242302464 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 42302464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42782300).

42302464 is an abundant number, since it is smaller than the sum of its proper divisors (43262136).

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

42302464 is a wasteful number, since it uses less digits than its factorization.

42302464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 42302464 is about 6504.0344402532. The cubic root of 42302464 is about 348.4350923802.

Adding to 42302464 its reverse (46420324), we get a palindrome (88722788).

The spelling of 42302464 in words is "forty-two million, three hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 379 436 512 758 872 1024 1516 1744 3032 3488 6064 6976 12128 13952 24256 27904 41311 48512 55808 82622 97024 111616 165244 194048 330488 388096 660976 1321952 2643904 5287808 10575616 21151232 42302464