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1047952768 = 2731264101
BaseRepresentation
bin111110011101100…
…111110110000000
32201000220111221111
4332131213312000
54121233442033
6251553133104
734653310612
oct7635476600
92630814844
101047952768
114985a6475
12252b5a194
131391597c5
149d270db2
15620047cd
hex3e767d80

1047952768 has 32 divisors (see below), whose sum is σ = 2155072320. Its totient is φ = 507072000.

The previous prime is 1047952691. The next prime is 1047952769. The reversal of 1047952768 is 8672597401.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047952769) 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 3 ways as a sum of consecutive naturals, for example, 128083 + ... + 136018.

It is an arithmetic number, because the mean of its divisors is an integer number (67346010).

Almost surely, 21047952768 is an apocalyptic number.

It is an amenable number.

1047952768 is an abundant number, since it is smaller than the sum of its proper divisors (1107119552).

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

1047952768 is an equidigital number, since it uses as much as digits as its factorization.

1047952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264146 (or 264134 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The square root of 1047952768 is about 32372.0986035814. The cubic root of 1047952768 is about 1015.7353558766.

The spelling of 1047952768 in words is "one billion, forty-seven million, nine hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 264101 528202 1056404 2112808 4225616 8187131 8451232 16374262 16902464 32748524 33804928 65497048 130994096 261988192 523976384 1047952768