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42311620 = 225131091493
BaseRepresentation
bin1010000101100…
…1111111000100
32221121122122001
42201121333010
541312432440
64110515044
71022433331
oct241317704
987548561
1042311620
112197a38a
1212205a84
1389c5a80
145895988
153aabb9a
hex2859fc4

42311620 has 48 divisors (see below), whose sum is σ = 96631920. Its totient is φ = 15469056.

The previous prime is 42311617. The next prime is 42311663. The reversal of 42311620 is 2611324.

42311620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 87616 + 42224004 = 296^2 + 6498^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27594 + ... + 29086.

It is an arithmetic number, because the mean of its divisors is an integer number (2013165).

Almost surely, 242311620 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 42311620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48315960).

42311620 is an abundant number, since it is smaller than the sum of its proper divisors (54320300).

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

42311620 is a wasteful number, since it uses less digits than its factorization.

42311620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42311620 is about 6504.7382729822. The cubic root of 42311620 is about 348.4602291473.

Adding to 42311620 its reverse (2611324), we get a palindrome (44922944).

The spelling of 42311620 in words is "forty-two million, three hundred eleven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 1493 2180 2834 2986 5668 5972 7085 7465 14170 14930 19409 28340 29860 38818 77636 97045 162737 194090 325474 388180 650948 813685 1627370 2115581 3254740 4231162 8462324 10577905 21155810 42311620