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553565152 = 257217191093
BaseRepresentation
bin100000111111101…
…011101111100000
31102120122000122001
4200333223233200
52113203041102
6130532453344
716501140400
oct4077535740
91376560561
10553565152
11264522768
1213547a254
138a8bb15a
145373a800
15338e9487
hex20febbe0

553565152 has 144 divisors (see below), whose sum is σ = 1414279440. Its totient is φ = 211341312.

The previous prime is 553565141. The next prime is 553565167. The reversal of 553565152 is 251565355.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505918 + ... + 507010.

It is an arithmetic number, because the mean of its divisors is an integer number (9821385).

Almost surely, 2553565152 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 553565152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707139720).

553565152 is an abundant number, since it is smaller than the sum of its proper divisors (860714288).

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

553565152 is a wasteful number, since it uses less digits than its factorization.

553565152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1138 counting only the distinct ones).

The product of its digits is 112500, while the sum is 37.

The square root of 553565152 is about 23527.9653178935. The cubic root of 553565152 is about 821.0877651990.

The spelling of 553565152 in words is "five hundred fifty-three million, five hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 49 56 68 76 98 112 119 133 136 152 196 224 238 266 272 304 323 392 476 532 544 608 646 784 833 931 952 1064 1093 1292 1568 1666 1862 1904 2128 2186 2261 2584 3332 3724 3808 4256 4372 4522 5168 6664 7448 7651 8744 9044 10336 13328 14896 15302 15827 17488 18088 18581 20767 26656 29792 30604 31654 34976 36176 37162 41534 53557 61208 63308 72352 74324 83068 107114 122416 126616 130067 145369 148648 166136 214228 244832 253232 260134 290738 297296 332272 353039 428456 506464 520268 581476 594592 664544 706078 856912 910469 1017583 1040536 1162952 1412156 1713824 1820938 2035166 2081072 2325904 2471273 2824312 3641876 4070332 4162144 4651808 4942546 5648624 7283752 8140664 9885092 11297248 14567504 16281328 17298911 19770184 29135008 32562656 34597822 39540368 69195644 79080736 138391288 276782576 553565152