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245504208 = 2431723103127
BaseRepresentation
bin11101010001000…
…01100011010000
3122002221220110110
432220201203100
51000322113313
640210001320
76040515465
oct1650414320
9562856413
10245504208
11116642a44
126a276240
133bb2a281
142486966c
1516846ec3
hexea218d0

245504208 has 160 divisors (see below), whose sum is σ = 713097216. Its totient is φ = 72382464.

The previous prime is 245504179. The next prime is 245504209. The reversal of 245504208 is 802405542.

It is a super-2 number, since 2×2455042082 = 120544632291414528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245504209) 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 31 ways as a sum of consecutive naturals, for example, 1933041 + ... + 1933167.

Almost surely, 2245504208 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 245504208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356548608).

245504208 is an abundant number, since it is smaller than the sum of its proper divisors (467593008).

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

245504208 is a wasteful number, since it uses less digits than its factorization.

245504208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 245504208 is about 15668.5738980930. The cubic root of 245504208 is about 626.1614312138.

The spelling of 245504208 in words is "two hundred forty-five million, five hundred four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 103 127 136 138 184 204 206 254 272 276 309 368 381 391 408 412 508 552 618 762 782 816 824 1016 1104 1173 1236 1524 1564 1648 1751 2032 2159 2346 2369 2472 2921 3048 3128 3502 4318 4692 4738 4944 5253 5842 6096 6256 6477 7004 7107 8636 8763 9384 9476 10506 11684 12954 13081 14008 14214 17272 17526 18768 18952 21012 23368 25908 26162 28016 28428 34544 35052 37904 39243 40273 42024 46736 49657 51816 52324 56856 70104 78486 80546 84048 99314 103632 104648 113712 120819 140208 148971 156972 161092 198628 209296 222377 241638 297942 300863 313944 322184 397256 444754 483276 595884 601726 627888 644368 667131 794512 889508 902589 966552 1191768 1203452 1334262 1779016 1805178 1933104 2383536 2406904 2668524 3558032 3610356 4813808 5114671 5337048 7220712 10229342 10674096 14441424 15344013 20458684 30688026 40917368 61376052 81834736 122752104 245504208