Search a number
-
+
552054800 = 245211373391
BaseRepresentation
bin100000111001111…
…011000000010000
31102110210021211002
4200321323000100
52112311223200
6130440241132
716452250133
oct4071730020
91373707732
10552054800
11263690a40
12134a701a8
138a4ac85b
145346621a
15336ebbd5
hex20e7b010

552054800 has 120 divisors (see below), whose sum is σ = 1486428672. Its totient is φ = 195264000.

The previous prime is 552054781. The next prime is 552054847. The reversal of 552054800 is 8450255.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161105 + ... + 164495.

Almost surely, 2552054800 is an apocalyptic number.

552054800 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 552054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743214336).

552054800 is an abundant number, since it is smaller than the sum of its proper divisors (934373872).

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

552054800 is a wasteful number, since it uses less digits than its factorization.

552054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 552054800 is about 23495.8464414458. The cubic root of 552054800 is about 820.3403306718.

The spelling of 552054800 in words is "five hundred fifty-two million, fifty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 55 74 80 88 100 110 148 176 185 200 220 275 296 370 400 407 440 550 592 740 814 880 925 1100 1480 1628 1850 2035 2200 2960 3256 3391 3700 4070 4400 6512 6782 7400 8140 10175 13564 14800 16280 16955 20350 27128 32560 33910 37301 40700 54256 67820 74602 81400 84775 125467 135640 149204 162800 169550 186505 250934 271280 298408 339100 373010 501868 596816 627335 678200 746020 932525 1003736 1254670 1356400 1380137 1492040 1865050 2007472 2509340 2760274 2984080 3136675 3730100 5018680 5520548 6273350 6900685 7460200 10037360 11041096 12546700 13801370 14920400 22082192 25093400 27602740 34503425 50186800 55205480 69006850 110410960 138013700 276027400 552054800