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245912480 = 25511178219
BaseRepresentation
bin11101010100001…
…01001110100000
3122010201122111122
432222011032200
51000423144410
640222431412
76044136002
oct1652051640
9563648448
10245912480
111168a1760
126a432568
133bc41058
1424934372
15168c7e55
hexea853a0

245912480 has 96 divisors (see below), whose sum is σ = 671146560. Its totient is φ = 84152320.

The previous prime is 245912479. The next prime is 245912503. The reversal of 245912480 is 84219542.

It is a self number, because there is not a number n which added to its sum of digits gives 245912480.

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, 25811 + ... + 34029.

It is an arithmetic number, because the mean of its divisors is an integer number (6991110).

Almost surely, 2245912480 is an apocalyptic number.

245912480 is a gapful number since it is divisible by the number (20) 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 245912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335573280).

245912480 is an abundant number, since it is smaller than the sum of its proper divisors (425234080).

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

245912480 is a wasteful number, since it uses less digits than its factorization.

245912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 245912480 is about 15681.5968574632. The cubic root of 245912480 is about 626.5083398624.

The spelling of 245912480 in words is "two hundred forty-five million, nine hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 8219 14960 16438 29920 32876 41095 65752 82190 90409 131504 139723 164380 180818 263008 279446 328760 361636 452045 558892 657520 698615 723272 904090 1117784 1315040 1397230 1446544 1536953 1808180 2235568 2794460 2893088 3073906 3616360 4471136 5588920 6147812 7232720 7684765 11177840 12295624 14465440 15369530 22355680 24591248 30739060 49182496 61478120 122956240 245912480