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42430650 = 23521911481
BaseRepresentation
bin1010000111011…
…1000010111010
32221211200220120
42201313002322
541330240100
64113234110
71023440343
oct241670272
987750816
1042430650
1121a50859
1212262936
138a37cc2
1458c70ca
153ad20a0
hex28770ba

42430650 has 48 divisors (see below), whose sum is σ = 105850368. Its totient is φ = 11248000.

The previous prime is 42430649. The next prime is 42430651. The reversal of 42430650 is 5603424.

42430650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42430649) and next prime (42430651).

It is a self number, because there is not a number n which added to its sum of digits gives 42430650.

It is not an unprimeable number, because it can be changed into a prime (42430651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27910 + ... + 29390.

It is an arithmetic number, because the mean of its divisors is an integer number (2205216).

Almost surely, 242430650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52925184).

42430650 is an abundant number, since it is smaller than the sum of its proper divisors (63419718).

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

42430650 is a wasteful number, since it uses less digits than its factorization.

42430650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42430650 is about 6513.8813314337. The cubic root of 42430650 is about 348.7866831058.

The spelling of 42430650 in words is "forty-two million, four hundred thirty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 191 382 573 955 1146 1481 1910 2865 2962 4443 4775 5730 7405 8886 9550 14325 14810 22215 28650 37025 44430 74050 111075 222150 282871 565742 848613 1414355 1697226 2828710 4243065 7071775 8486130 14143550 21215325 42430650