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255330816 = 2931319673
BaseRepresentation
bin11110011100000…
…00101000000000
3122210110011000220
433032000220000
51010331041231
641200343040
76220163466
oct1716005000
9583404026
10255330816
11121144904
1271614a80
1340b8ac30
1425ca6836
1517638896
hexf380a00

255330816 has 160 divisors (see below), whose sum is σ = 772242240. Its totient is φ = 74317824.

The previous prime is 255330793. The next prime is 255330841. The reversal of 255330816 is 618033552.

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, 379056 + ... + 379728.

It is an arithmetic number, because the mean of its divisors is an integer number (4826514).

Almost surely, 2255330816 is an apocalyptic number.

255330816 is a gapful number since it is divisible by the number (26) 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 255330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386121120).

255330816 is an abundant number, since it is smaller than the sum of its proper divisors (516911424).

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

255330816 is a wasteful number, since it uses less digits than its factorization.

255330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 255330816 is about 15979.0743161173. The cubic root of 255330816 is about 634.4066758302.

The spelling of 255330816 in words is "two hundred fifty-five million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 512 608 624 673 741 768 832 912 988 1216 1248 1346 1482 1536 1664 1824 1976 2019 2432 2496 2692 2964 3328 3648 3952 4038 4864 4992 5384 5928 6656 7296 7904 8076 8749 9728 9984 10768 11856 12787 14592 15808 16152 17498 19968 21536 23712 25574 26247 29184 31616 32304 34996 38361 43072 47424 51148 52494 63232 64608 69992 76722 86144 94848 102296 104988 126464 129216 139984 153444 166231 172288 189696 204592 209976 258432 279968 306888 332462 344576 379392 409184 419952 498693 516864 559936 613776 664924 818368 839904 997386 1033728 1119872 1227552 1329848 1636736 1679808 1994772 2239744 2455104 2659696 3273472 3359616 3989544 4479488 4910208 5319392 6546944 6719232 7979088 9820416 10638784 13438464 15958176 19640832 21277568 31916352 42555136 63832704 85110272 127665408 255330816