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255555468 = 223276531553
BaseRepresentation
bin11110011101101…
…11011110001100
3122210212120012100
433032313132030
51010410233333
641205235100
76222120450
oct1716673614
9583776170
10255555468
11121288673
1271702a90
1340c3926c
1425d24660
1517680213
hexf3b778c

255555468 has 72 divisors (see below), whose sum is σ = 739878048. Its totient is φ = 72857088.

The previous prime is 255555467. The next prime is 255555473. The reversal of 255555468 is 864555552.

255555468 is a `hidden beast` number, since 2 + 55 + 55 + 546 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (255555467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163780 + ... + 165332.

It is an arithmetic number, because the mean of its divisors is an integer number (10276084).

Almost surely, 2255555468 is an apocalyptic number.

255555468 is a gapful number since it is divisible by the number (28) 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 255555468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369939024).

255555468 is an abundant number, since it is smaller than the sum of its proper divisors (484322580).

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

255555468 is a wasteful number, since it uses less digits than its factorization.

255555468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2218 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The square root of 255555468 is about 15986.1023392195. The cubic root of 255555468 is about 634.5926815154.

The spelling of 255555468 in words is "two hundred fifty-five million, five hundred fifty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 653 1306 1553 1959 2612 3106 3918 4571 4659 5877 6212 7836 9142 9318 10871 11754 13713 13977 18284 18636 21742 23508 27426 27954 32613 41139 43484 54852 55908 65226 82278 97839 130452 164556 195678 391356 1014109 2028218 3042327 4056436 6084654 7098763 9126981 12169308 14197526 18253962 21296289 28395052 36507924 42592578 63888867 85185156 127777734 255555468