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255460816 = 24132367797
BaseRepresentation
bin11110011101000…
…00010111010000
3122210200202100201
433032200113100
51010344221231
641203224544
76221244502
oct1716402720
9583622321
10255460816
11121223546
1271678154
1340c05160
1425cdbd72
1517662161
hexf3a05d0

255460816 has 80 divisors (see below), whose sum is σ = 565213824. Its totient is φ = 110956032.

The previous prime is 255460811. The next prime is 255460831. The reversal of 255460816 is 618064552.

It is a super-2 number, since 2×2554608162 = 130520457022771712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255460811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320130 + ... + 320926.

Almost surely, 2255460816 is an apocalyptic number.

255460816 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 255460816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282606912).

255460816 is an abundant number, since it is smaller than the sum of its proper divisors (309753008).

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

255460816 is a wasteful number, since it uses less digits than its factorization.

255460816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 255460816 is about 15983.1416185930. The cubic root of 255460816 is about 634.5143255534.

The spelling of 255460816 in words is "two hundred fifty-five million, four hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 67 92 104 134 184 208 268 299 368 536 598 797 871 1072 1196 1541 1594 1742 2392 3082 3188 3484 4784 6164 6376 6968 10361 12328 12752 13936 18331 20033 20722 24656 36662 40066 41444 53399 73324 80132 82888 106798 146648 160264 165776 213596 238303 293296 320528 427192 476606 694187 854384 953212 1228177 1388374 1906424 2456354 2776748 3812848 4912708 5553496 9825416 11106992 15966301 19650832 31932602 63865204 127730408 255460816