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245563648 = 2811293197
BaseRepresentation
bin11101010001100…
…00000100000000
3122010001220222221
432220300010000
51000331014043
640211140424
76041154001
oct1650600400
9563056887
10245563648
11116683670
126a2a4714
133bb4b345
14248831a8
15168598ed
hexea30100

245563648 has 144 divisors (see below), whose sum is σ = 576898560. Its totient is φ = 103219200.

The previous prime is 245563631. The next prime is 245563651. The reversal of 245563648 is 846365542.

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, 2531536 + ... + 2531632.

It is an arithmetic number, because the mean of its divisors is an integer number (4006240).

Almost surely, 2245563648 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 245563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288449280).

245563648 is an abundant number, since it is smaller than the sum of its proper divisors (331334912).

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

245563648 is a wasteful number, since it uses less digits than its factorization.

245563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The square root of 245563648 is about 15670.4705736618. The cubic root of 245563648 is about 626.2119612807.

The spelling of 245563648 in words is "two hundred forty-five million, five hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 64 88 97 116 124 128 176 194 232 248 256 319 341 352 388 464 496 638 682 704 776 899 928 992 1067 1276 1364 1408 1552 1798 1856 1984 2134 2552 2728 2813 2816 3007 3104 3596 3712 3968 4268 5104 5456 5626 6014 6208 7192 7424 7936 8536 9889 10208 10912 11252 12028 12416 14384 17072 19778 20416 21824 22504 24056 24832 28768 30943 33077 34144 39556 40832 43648 45008 48112 57536 61886 66154 68288 79112 81664 87203 87296 90016 96224 115072 123772 132308 136576 158224 174406 180032 192448 230144 247544 264616 273152 316448 348812 360064 384896 495088 529232 632896 697624 720128 769792 959233 990176 1058464 1265792 1395248 1918466 1980352 2116928 2531584 2790496 3836932 3960704 4233856 5580992 7673864 7921408 8467712 11161984 15347728 22323968 30695456 61390912 122781824 245563648