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245192064 = 2731349117
BaseRepresentation
bin11101001110101…
…01010110000000
3122002101001021120
432213111112000
51000232121224
640155152240
76035045445
oct1647252600
9562331246
10245192064
1111644a477
126a145680
133ba4b180
14247c79cc
15167d4779
hexe9d5580

245192064 has 64 divisors (see below), whose sum is σ = 701405040. Its totient is φ = 75442176.

The previous prime is 245192053. The next prime is 245192099. The reversal of 245192064 is 460291542.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19567 + ... + 29550.

Almost surely, 2245192064 is an apocalyptic number.

245192064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245192064 is an abundant number, since it is smaller than the sum of its proper divisors (456212976).

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

245192064 is a wasteful number, since it uses less digits than its factorization.

245192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49147 (or 49135 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 245192064 is about 15658.6098999879. The cubic root of 245192064 is about 625.8959429908.

The spelling of 245192064 in words is "two hundred forty-five million, one hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 49117 98234 147351 196468 294702 392936 589404 638521 785872 1178808 1277042 1571744 1915563 2357616 2554084 3143488 3831126 4715232 5108168 6286976 7662252 9430464 10216336 15324504 18860928 20432672 30649008 40865344 61298016 81730688 122596032 245192064