Search a number
-
+
554409856 = 27711134327
BaseRepresentation
bin100001000010111…
…001111110000000
31102122012221100101
4201002321332000
52113412103411
6131002532144
716511256160
oct4102717600
91378187311
10554409856
11264a4a370
12135807054
138ab25790
14538ba5a0
1533a148c1
hex210b9f80

554409856 has 128 divisors (see below), whose sum is σ = 1483292160. Its totient is φ = 199342080.

The previous prime is 554409853. The next prime is 554409901. The reversal of 554409856 is 658904455.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554409853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125965 + ... + 130291.

It is an arithmetic number, because the mean of its divisors is an integer number (11588220).

Almost surely, 2554409856 is an apocalyptic number.

554409856 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 554409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741646080).

554409856 is an abundant number, since it is smaller than the sum of its proper divisors (928882304).

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

554409856 is a wasteful number, since it uses less digits than its factorization.

554409856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 554409856 is about 23545.9095386014. The cubic root of 554409856 is about 821.5051949162.

The spelling of 554409856 in words is "five hundred fifty-four million, four hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 2002 2288 2464 2912 4004 4327 4576 4928 5824 8008 8654 9152 9856 11648 16016 17308 18304 30289 32032 34616 47597 56251 60578 64064 69232 95194 112502 121156 128128 138464 190388 225004 242312 276928 333179 380776 393757 450008 484624 553856 618761 666358 761552 787514 900016 969248 1237522 1332716 1523104 1575028 1800032 1938496 2475044 2665432 3046208 3150056 3600064 3876992 4331327 4950088 5330864 6092416 6300112 7200128 8662654 9900176 10661728 12600224 17325308 19800352 21323456 25200448 34650616 39600704 42646912 50400896 69301232 79201408 138602464 277204928 554409856