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245084928 = 2831167433
BaseRepresentation
bin11101001101110…
…11001100000000
3122002011121022120
432212323030000
51000220204203
640153004240
76034121214
oct1646731400
9562147276
10245084928
11116386a30
126a0b3680
133ba1148a
142479a944
15167b2b53
hexe9bb300

245084928 has 144 divisors (see below), whose sum is σ = 723870336. Its totient is φ = 72990720.

The previous prime is 245084927. The next prime is 245084951. The reversal of 245084928 is 829480542.

It is a self number, because there is not a number n which added to its sum of digits gives 245084928.

It is not an unprimeable number, because it can be changed into a prime (245084923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 565800 + ... + 566232.

Almost surely, 2245084928 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 245084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361935168).

245084928 is an abundant number, since it is smaller than the sum of its proper divisors (478785408).

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

245084928 is a wasteful number, since it uses less digits than its factorization.

245084928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 245084928 is about 15655.1885328794. The cubic root of 245084928 is about 625.8047685381.

It can be divided in two parts, 2450 and 84928, that added together give a palindrome (87378).

The spelling of 245084928 in words is "two hundred forty-five million, eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 128 132 134 176 192 201 256 264 268 352 384 402 433 528 536 704 737 768 804 866 1056 1072 1299 1408 1474 1608 1732 2112 2144 2211 2598 2816 2948 3216 3464 4224 4288 4422 4763 5196 5896 6432 6928 8448 8576 8844 9526 10392 11792 12864 13856 14289 17152 17688 19052 20784 23584 25728 27712 28578 29011 35376 38104 41568 47168 51456 55424 57156 58022 70752 76208 83136 87033 94336 110848 114312 116044 141504 152416 166272 174066 188672 228624 232088 283008 304832 319121 332544 348132 457248 464176 566016 609664 638242 696264 914496 928352 957363 1219328 1276484 1392528 1828992 1856704 1914726 2552968 2785056 3657984 3713408 3829452 5105936 5570112 7426816 7658904 10211872 11140224 15317808 20423744 22280448 30635616 40847488 61271232 81694976 122542464 245084928