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245242368 = 293277603
BaseRepresentation
bin11101001111000…
…01101000000000
3122002110121021200
432213201220000
51000240223433
640200221200
76035345220
oct1647415000
9562417250
10245242368
11116484248
126a16a800
133ba68037
14247dc080
15167e4613
hexe9e1a00

245242368 has 120 divisors (see below), whose sum is σ = 809004768. Its totient is φ = 70060032.

The previous prime is 245242363. The next prime is 245242397. The reversal of 245242368 is 863242542.

245242368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (245242363) 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 11 ways as a sum of consecutive naturals, for example, 28455 + ... + 36057.

Almost surely, 2245242368 is an apocalyptic number.

245242368 is a gapful number since it is divisible by the number (28) 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 245242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404502384).

245242368 is an abundant number, since it is smaller than the sum of its proper divisors (563762400).

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

245242368 is an equidigital number, since it uses as much as digits as its factorization.

245242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7615 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 245242368 is about 15660.2160904631. The cubic root of 245242368 is about 625.9387433383.

The spelling of 245242368 in words is "two hundred forty-five million, two hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 7603 8064 10752 15206 16128 22809 30412 32256 45618 53221 60824 68427 91236 106442 121648 136854 159663 182472 212884 243296 273708 319326 364944 425768 478989 486592 547416 638652 729888 851536 957978 973184 1094832 1277304 1459776 1703072 1915956 1946368 2189664 2554608 2919552 3406144 3831912 3892736 4379328 5109216 5839104 6812288 7663824 8758656 10218432 11678208 13624576 15327648 17517312 20436864 27249152 30655296 35034624 40873728 61310592 81747456 122621184 245242368