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245329568 = 25114189191
BaseRepresentation
bin11101001111101…
…10111010100000
3122002122000220022
432213312322200
51000301021233
640202133012
76036160361
oct1647667240
9562560808
10245329568
11116533810
126a1b1168
133ba98933
1424821b68
1516810398
hexe9f6ea0

245329568 has 96 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 107008000.

The previous prime is 245329547. The next prime is 245329619. The reversal of 245329568 is 865923542.

It is a Cunningham number, because it is equal to 156632-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284353 + ... + 1284543.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2245329568 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 245329568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

245329568 is an abundant number, since it is smaller than the sum of its proper divisors (303344992).

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

245329568 is a wasteful number, since it uses less digits than its factorization.

245329568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 245329568 is about 15662.9999680776. Note that the first 4 decimals coincide. The cubic root of 245329568 is about 626.0129221883.

The spelling of 245329568 in words is "two hundred forty-five million, three hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 89 164 176 178 191 328 352 356 382 451 656 712 764 902 979 1312 1424 1528 1804 1958 2101 2848 3056 3608 3649 3916 4202 6112 7216 7298 7831 7832 8404 14432 14596 15662 15664 16808 16999 29192 31324 31328 33616 33998 40139 58384 62648 67232 67996 80278 86141 116768 125296 135992 160556 172282 186989 250592 271984 321112 344564 373978 543968 642224 689128 696959 747956 1284448 1378256 1393918 1495912 2756512 2787836 2991824 5575672 5983648 7666549 11151344 15333098 22302688 30666196 61332392 122664784 245329568