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255055104 = 2832313571
BaseRepresentation
bin11110011001111…
…01010100000000
3122202221010211100
433030331110000
51010243230404
641150414400
76214634613
oct1714752400
9582833740
10255055104
11120a76747
1271501400
1340ac25a5
1425c3417a
15175d1d39
hexf33d500

255055104 has 108 divisors (see below), whose sum is σ = 759321472. Its totient is φ = 82252800.

The previous prime is 255055093. The next prime is 255055109. The reversal of 255055104 is 401550552.

255055104 is a `hidden beast` number, since 2 + 550 + 5 + 5 + 104 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255055109) 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 11 ways as a sum of consecutive naturals, for example, 69639 + ... + 73209.

Almost surely, 2255055104 is an apocalyptic number.

255055104 is a gapful number since it is divisible by the number (24) 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 255055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379660736).

255055104 is an abundant number, since it is smaller than the sum of its proper divisors (504266368).

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

255055104 is a wasteful number, since it uses less digits than its factorization.

255055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 255055104 is about 15970.4447026374. Note that the first 3 decimals coincide. The cubic root of 255055104 is about 634.1782446881.

The spelling of 255055104 in words is "two hundred fifty-five million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3571 3968 4464 5952 7142 7936 8928 10713 11904 14284 17856 21426 23808 28568 32139 35712 42852 57136 64278 71424 85704 110701 114272 128556 171408 221402 228544 257112 332103 342816 442804 457088 514224 664206 685632 885608 914176 996309 1028448 1328412 1371264 1771216 1992618 2056896 2656824 2742528 3542432 3985236 4113792 5313648 7084864 7970472 8227584 10627296 14169728 15940944 21254592 28339456 31881888 42509184 63763776 85018368 127527552 255055104