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245268864 = 273370969
BaseRepresentation
bin11101001111010…
…00000110000000
3122002111221122000
432213220012000
51000242100424
640200544000
76035515401
oct1647500600
9562457560
10245268864
111164a2145
126a182000
133ba77109
14248079a8
15167ec3c9
hexe9e8180

245268864 has 64 divisors (see below), whose sum is σ = 723894000. Its totient is φ = 81755136.

The previous prime is 245268799. The next prime is 245268887. The reversal of 245268864 is 468862542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32029 + ... + 38940.

Almost surely, 2245268864 is an apocalyptic number.

245268864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245268864 is an abundant number, since it is smaller than the sum of its proper divisors (478625136).

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

245268864 is an equidigital number, since it uses as much as digits as its factorization.

245268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70992 (or 70974 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 245268864 is about 15661.0620329529. The cubic root of 245268864 is about 625.9612846795.

The spelling of 245268864 in words is "two hundred forty-five million, two hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 70969 141938 212907 283876 425814 567752 638721 851628 1135504 1277442 1703256 1916163 2271008 2554884 3406512 3832326 4542016 5109768 6813024 7664652 9084032 10219536 13626048 15329304 20439072 27252096 30658608 40878144 61317216 81756288 122634432 245268864