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551752272 = 243217257877
BaseRepresentation
bin100000111000110…
…001001001010000
31102110012220211100
4200320301021100
52112222033042
6130425544400
716446550131
oct4070611120
91373186740
10551752272
112634a4715
12134945100
138a404c46
14533c7c88
153368c24c
hex20e31250

551752272 has 120 divisors (see below), whose sum is σ = 1643205096. Its totient is φ = 172228608.

The previous prime is 551752261. The next prime is 551752273. The reversal of 551752272 is 272257155.

551752272 is a `hidden beast` number, since 55 + 17 + 522 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419594256 + 132158016 = 20484^2 + 11496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551752273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628698 + ... + 629574.

Almost surely, 2551752272 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 551752272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821602548).

551752272 is an abundant number, since it is smaller than the sum of its proper divisors (1091452824).

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

551752272 is a wasteful number, since it uses less digits than its factorization.

551752272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 551752272 is about 23489.4076553667. The cubic root of 551752272 is about 820.1904534814.

The spelling of 551752272 in words is "five hundred fifty-one million, seven hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 257 272 306 408 514 612 771 816 877 1028 1224 1542 1754 2056 2313 2448 2631 3084 3508 4112 4369 4626 5262 6168 7016 7893 8738 9252 10524 12336 13107 14032 14909 15786 17476 18504 21048 26214 29818 31572 34952 37008 39321 42096 44727 52428 59636 63144 69904 78642 89454 104856 119272 126288 134181 157284 178908 209712 225389 238544 268362 314568 357816 450778 536724 629136 676167 715632 901556 1073448 1352334 1803112 2028501 2146896 2704668 3606224 3831613 4057002 5409336 7663226 8114004 10818672 11494839 15326452 16228008 22989678 30652904 32456016 34484517 45979356 61305808 68969034 91958712 137938068 183917424 275876136 551752272