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552133064 = 237314767101
BaseRepresentation
bin100000111010001…
…110000111001000
31102110221021011202
4200322032013020
52112321224224
6130442043332
716453024250
oct4072160710
91373837152
10552133064
1126373481a
12134aa9548
138a509372
1453486960
1533714eae
hex20e8e1c8

552133064 has 128 divisors (see below), whose sum is σ = 1278443520. Its totient is φ = 218592000.

The previous prime is 552133063. The next prime is 552133073. The reversal of 552133064 is 460331255.

It is not an unprimeable number, because it can be changed into a prime (552133061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5466614 + ... + 5466714.

It is an arithmetic number, because the mean of its divisors is an integer number (9987840).

Almost surely, 2552133064 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 552133064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639221760).

552133064 is an abundant number, since it is smaller than the sum of its proper divisors (726310456).

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

552133064 is a wasteful number, since it uses less digits than its factorization.

552133064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 552133064 is about 23497.5118682809. The cubic root of 552133064 is about 820.3790949889.

The spelling of 552133064 in words is "five hundred fifty-two million, one hundred thirty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 67 94 101 124 134 188 202 217 248 268 329 376 404 434 469 536 658 707 808 868 938 1316 1414 1457 1736 1876 2077 2632 2828 2914 3131 3149 3752 4154 4747 5656 5828 6262 6298 6767 8308 9494 10199 11656 12524 12596 13534 14539 16616 18988 20398 21917 22043 25048 25192 27068 29078 33229 37976 40796 43834 44086 47369 54136 58156 66458 81592 87668 88172 94738 97619 116312 132916 147157 175336 176344 189476 195238 209777 265832 294314 318049 378952 390476 419554 588628 636098 683333 780952 839108 1030099 1177256 1272196 1366666 1468439 1678216 2060198 2226343 2544392 2733332 2936878 4120396 4452686 5466664 5873756 8240792 8905372 9859519 11747512 17810744 19719038 39438076 69016633 78876152 138033266 276066532 552133064