Search a number
-
+
551460800 = 26521131333
BaseRepresentation
bin100000110111101…
…001111111000000
31102102200010000002
4200313221333000
52112133221200
6130415415132
716444224302
oct4067517700
91372603002
10551460800
11263315730
121348244a8
138a332387
145334d972
1533630bd5
hex20de9fc0

551460800 has 84 divisors (see below), whose sum is σ = 1480343496. Its totient is φ = 200524800.

The previous prime is 551460799. The next prime is 551460809. The reversal of 551460800 is 8064155.

It is a happy number.

551460800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551460809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1934 + ... + 33266.

Almost surely, 2551460800 is an apocalyptic number.

551460800 is a gapful number since it is divisible by the number (50) 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 551460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740171748).

551460800 is an abundant number, since it is smaller than the sum of its proper divisors (928882696).

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

551460800 is a wasteful number, since it uses less digits than its factorization.

551460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31366 (or 31351 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 551460800 is about 23483.2025073243. The cubic root of 551460800 is about 820.0460017817.

The spelling of 551460800 in words is "five hundred fifty-one million, four hundred sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 31333 62666 125332 156665 250664 313330 344663 501328 626660 689326 783325 1002656 1253320 1378652 1566650 1723315 2005312 2506640 2757304 3133300 3446630 5013280 5514608 6266600 6893260 8616575 10026560 11029216 12533200 13786520 17233150 22058432 25066400 27573040 34466300 50132800 55146080 68932600 110292160 137865200 275730400 551460800