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248855520 = 25351730497
BaseRepresentation
bin11101101010100…
…11101111100000
3122100021011121010
432311103233200
51002201334040
640405500520
76111144204
oct1665235740
9570234533
10248855520
11118521921
126b411740
133c7317b4
142509cb04
1516ca9e80
hexed53be0

248855520 has 96 divisors (see below), whose sum is σ = 830033568. Its totient is φ = 62455808.

The previous prime is 248855489. The next prime is 248855531. The reversal of 248855520 is 25558842.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 7089 + ... + 23408.

It is an arithmetic number, because the mean of its divisors is an integer number (8646183).

Almost surely, 2248855520 is an apocalyptic number.

248855520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248855520 is an abundant number, since it is smaller than the sum of its proper divisors (581178048).

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

248855520 is a wasteful number, since it uses less digits than its factorization.

248855520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30532 (or 30524 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 248855520 is about 15775.1551497917. The cubic root of 248855520 is about 628.9977513204.

The spelling of 248855520 in words is "two hundred forty-eight million, eight hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 30497 60994 91491 121988 152485 182982 243976 304970 365964 457455 487952 518449 609940 731928 914910 975904 1036898 1219880 1463856 1555347 1829820 2073796 2439760 2592245 2927712 3110694 3659640 4147592 4879520 5184490 6221388 7319280 7776735 8295184 10368980 12442776 14638560 15553470 16590368 20737960 24885552 31106940 41475920 49771104 62213880 82951840 124427760 248855520