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1006421442 = 231323224391
BaseRepresentation
bin111011111111001…
…100010111000010
32121010202111200020
4323333030113002
54030120441232
6243511034310
733640304205
oct7377142702
92533674606
101006421442
1147710a364
1224106b996
13130677c60
149793d93c
155d54de2c
hex3bfcc5c2

1006421442 has 48 divisors (see below), whose sum is σ = 2266114368. Its totient is φ = 296192160.

The previous prime is 1006421413. The next prime is 1006421443. The reversal of 1006421442 is 2441246001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1006421443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29067 + ... + 53457.

It is an arithmetic number, because the mean of its divisors is an integer number (47210716).

Almost surely, 21006421442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006421442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133057184).

1006421442 is an abundant number, since it is smaller than the sum of its proper divisors (1259692926).

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

1006421442 is a wasteful number, since it uses less digits than its factorization.

1006421442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24455 (or 24432 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1006421442 is about 31724.1460405162. The cubic root of 1006421442 is about 1002.1359152845.

Adding to 1006421442 its reverse (2441246001), we get a palindrome (3447667443).

The spelling of 1006421442 in words is "one billion, six million, four hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 529 598 897 1058 1587 1794 3174 6877 13754 20631 24391 41262 48782 73173 146346 317083 560993 634166 951249 1121986 1682979 1902498 3365958 7292909 12902839 14585818 21878727 25805678 38708517 43757454 77417034 167736907 335473814 503210721 1006421442