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245088288 = 2533331857
BaseRepresentation
bin11101001101111…
…00000000100000
3122002011202221000
432212330000200
51000220311123
640153032000
76034134054
oct1646740040
9562152830
10245088288
11116389505
126a0b5600
133ba12b73
142479bc64
15167b3b43
hexe9bc020

245088288 has 96 divisors (see below), whose sum is σ = 717837120. Its totient is φ = 81354240.

The previous prime is 245088287. The next prime is 245088323. The reversal of 245088288 is 882880542.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (245088281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 285556 + ... + 286412.

It is an arithmetic number, because the mean of its divisors is an integer number (7477470).

Almost surely, 2245088288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245088288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358918560).

245088288 is an abundant number, since it is smaller than the sum of its proper divisors (472748832).

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

245088288 is a wasteful number, since it uses less digits than its factorization.

245088288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 245088288 is about 15655.2958451765. The cubic root of 245088288 is about 625.8076283554.

The spelling of 245088288 in words is "two hundred forty-five million, eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 331 432 662 857 864 993 1324 1714 1986 2571 2648 2979 3428 3972 5142 5296 5958 6856 7713 7944 8937 10284 10592 11916 13712 15426 15888 17874 20568 23139 23832 27424 30852 31776 35748 41136 46278 47664 61704 71496 82272 92556 95328 123408 142992 185112 246816 283667 285984 370224 567334 740448 851001 1134668 1702002 2269336 2553003 3404004 4538672 5106006 6808008 7659009 9077344 10212012 13616016 15318018 20424024 27232032 30636036 40848048 61272072 81696096 122544144 245088288