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8264442042 = 233263581921
BaseRepresentation
bin1111011001001100…
…10110000010111010
3210022222000011012000
413230212112002322
5113411144121132
63444023401430
7411541412133
oct75446260272
923288004160
108264442042
11356107569a
1217278b3276
13a192711bc
14585862c8a
1533583387c
hex1ec9960ba

8264442042 has 32 divisors (see below), whose sum is σ = 18435288960. Its totient is φ = 2744334720.

The previous prime is 8264442031. The next prime is 8264442047. The reversal of 8264442042 is 2402444628.

It is a happy number.

8264442042 is a `hidden beast` number, since 8 + 2 + 6 + 444 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8264441988 and 8264442006.

It is not an unprimeable number, because it can be changed into a prime (8264442047) 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, 276759 + ... + 305162.

It is an arithmetic number, because the mean of its divisors is an integer number (576102780).

Almost surely, 28264442042 is an apocalyptic number.

8264442042 is an abundant number, since it is smaller than the sum of its proper divisors (10170846918).

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

8264442042 is a wasteful number, since it uses less digits than its factorization.

8264442042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582195 (or 582189 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 8264442042 is about 90908.9766854737. The cubic root of 8264442042 is about 2021.7983887950.

The spelling of 8264442042 in words is "eight billion, two hundred sixty-four million, four hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 263 526 789 1578 2367 4734 7101 14202 581921 1163842 1745763 3491526 5237289 10474578 15711867 31423734 153045223 306090446 459135669 918271338 1377407007 2754814014 4132221021 8264442042