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552397824 = 21032115449
BaseRepresentation
bin100000111011001…
…110110000000000
31102111102201100200
4200323032300000
52112403212244
6130451445200
716455206166
oct4073166000
91374381320
10552397824
112638a5730
12134bb6800
138a59ca24
1453515236
1533768669
hex20ecec00

552397824 has 132 divisors (see below), whose sum is σ = 1740359400. Its totient is φ = 167362560.

The previous prime is 552397819. The next prime is 552397841. The reversal of 552397824 is 428793255.

552397824 is a `hidden beast` number, since 552 + 3 + 9 + 78 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a self number, because there is not a number n which added to its sum of digits gives 552397824.

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 11 ways as a sum of consecutive naturals, for example, 98652 + ... + 104100.

Almost surely, 2552397824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870179700).

552397824 is an abundant number, since it is smaller than the sum of its proper divisors (1187961576).

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

552397824 is a wasteful number, since it uses less digits than its factorization.

552397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5465 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 552397824 is about 23503.1449810446. The cubic root of 552397824 is about 820.5102040002.

The spelling of 552397824 in words is "five hundred fifty-two million, three hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5449 5632 6336 8448 9216 10898 11264 12672 16347 16896 21796 25344 32694 33792 43592 49041 50688 59939 65388 87184 98082 101376 119878 130776 174368 179817 196164 239756 261552 348736 359634 392328 479512 523104 539451 697472 719268 784656 959024 1046208 1078902 1394944 1438536 1569312 1918048 2092416 2157804 2789888 2877072 3138624 3836096 4184832 4315608 5579776 5754144 6277248 7672192 8369664 8631216 11508288 12554496 15344384 16739328 17262432 23016576 25108992 30688768 34524864 46033152 50217984 61377536 69049728 92066304 138099456 184132608 276198912 552397824