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245312352 = 25323172687
BaseRepresentation
bin11101001111100…
…10101101100000
3122002121011021200
432213302231200
51000244443402
640201521200
76036056235
oct1647625540
9562534250
10245312352
1111652188a
126a1a3200
133ba90b4c
142481978c
151680a21c
hexe9f2b60

245312352 has 72 divisors (see below), whose sum is σ = 700068096. Its totient is φ = 81482496.

The previous prime is 245312297. The next prime is 245312359. The reversal of 245312352 is 253213542.

It is a happy number.

245312352 is digitally balanced in base 3, 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245312359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89953 + ... + 92639.

It is an arithmetic number, because the mean of its divisors is an integer number (9723168).

Almost surely, 2245312352 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 245312352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350034048).

245312352 is an abundant number, since it is smaller than the sum of its proper divisors (454755744).

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

245312352 is a wasteful number, since it uses less digits than its factorization.

245312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3009 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 245312352 is about 15662.4503830020. The cubic root of 245312352 is about 625.9982783622.

Adding to 245312352 its reverse (253213542), we get a palindrome (498525894).

The spelling of 245312352 in words is "two hundred forty-five million, three hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 1268 1902 2536 2687 2853 3804 5072 5374 5706 7608 8061 10144 10748 11412 15216 16122 21496 22824 24183 30432 32244 42992 45648 48366 64488 85984 91296 96732 128976 193464 257952 386928 773856 851779 1703558 2555337 3407116 5110674 6814232 7666011 10221348 13628464 15332022 20442696 27256928 30664044 40885392 61328088 81770784 122656176 245312352