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554785056 = 25327239313
BaseRepresentation
bin100001000100010…
…101100100100000
31102122221000000200
4201010111210200
52114011110211
6131014545200
716514411100
oct4104254440
91378830020
10554785056
11265186251
12135968200
138ac274a7
1453977200
1533a8ab56
hex21115920

554785056 has 108 divisors (see below), whose sum is σ = 1835295462. Its totient is φ = 158505984.

The previous prime is 554785027. The next prime is 554785061. The reversal of 554785056 is 650587455.

554785056 is a `hidden beast` number, since 5 + 547 + 8 + 50 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 444535056 + 110250000 = 21084^2 + 10500^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5545 + ... + 33768.

Almost surely, 2554785056 is an apocalyptic number.

554785056 is a gapful number since it is divisible by the number (56) 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 554785056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917647731).

554785056 is an abundant number, since it is smaller than the sum of its proper divisors (1280510406).

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

554785056 is a wasteful number, since it uses less digits than its factorization.

554785056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39343 (or 39325 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 554785056 is about 23553.8756046643. The cubic root of 554785056 is about 821.6904725528.

The spelling of 554785056 in words is "five hundred fifty-four million, seven hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 39313 78626 117939 157252 235878 275191 314504 353817 471756 550382 629008 707634 825573 943512 1100764 1258016 1415268 1651146 1887024 1926337 2201528 2476719 2830536 3302292 3774048 3852674 4403056 4953438 5661072 5779011 6604584 7705348 8806112 9906876 11322144 11558022 13209168 15410696 17337033 19813752 23116044 26418336 30821392 34674066 39627504 46232088 61642784 69348132 79255008 92464176 138696264 184928352 277392528 554785056