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245093664 = 25313119489
BaseRepresentation
bin11101001101111…
…01010100100000
3122002012001022010
432212331110200
51000220444124
640153112520
76034155534
oct1646752440
9562161263
10245093664
11116392552
126a0b8740
133ba1544a
142479dbc4
15167b5529
hexe9bd520

245093664 has 48 divisors (see below), whose sum is σ = 648315360. Its totient is φ = 81070080.

The previous prime is 245093663. The next prime is 245093699. The reversal of 245093664 is 466390542.

245093664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (245093663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2832 + ... + 22320.

It is an arithmetic number, because the mean of its divisors is an integer number (13506570).

Almost surely, 2245093664 is an apocalyptic number.

245093664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245093664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324157680).

245093664 is an abundant number, since it is smaller than the sum of its proper divisors (403221696).

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

245093664 is a wasteful number, since it uses less digits than its factorization.

245093664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19633 (or 19625 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 245093664 is about 15655.4675433217. The cubic root of 245093664 is about 625.8122040089.

The spelling of 245093664 in words is "two hundred forty-five million, ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 19489 38978 58467 77956 116934 155912 233868 311824 467736 623648 935472 1870944 2553059 5106118 7659177 10212236 15318354 20424472 30636708 40848944 61273416 81697888 122546832 245093664