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1006226442 = 233131433371
BaseRepresentation
bin111011111110011…
…100110000001010
32121010101121012000
4323332130300022
54030043221232
6243502531430
733635532534
oct7376346012
92533347160
101006226442
11476a96901
12240b96b76
1313060a280
14978cc854
155d51127c
hex3bf9cc0a

1006226442 has 32 divisors (see below), whose sum is σ = 2408064960. Its totient is φ = 309607920.

The previous prime is 1006226423. The next prime is 1006226443. The reversal of 1006226442 is 2446226001.

1006226442 is a `hidden beast` number, since 10 + 0 + 6 + 2 + 2 + 644 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1006226443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715984 + ... + 717387.

It is an arithmetic number, because the mean of its divisors is an integer number (75252030).

Almost surely, 21006226442 is an apocalyptic number.

1006226442 is an abundant number, since it is smaller than the sum of its proper divisors (1401838518).

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

1006226442 is a wasteful number, since it uses less digits than its factorization.

1006226442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433395 (or 1433389 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1006226442 is about 31721.0725228514. The cubic root of 1006226442 is about 1002.0711878857.

The spelling of 1006226442 in words is "one billion, six million, two hundred twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1433371 2866742 4300113 8600226 12900339 18633823 25800678 37267646 38701017 55901469 77402034 111802938 167704407 335408814 503113221 1006226442