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550125144 = 2332431371297
BaseRepresentation
bin100000110010100…
…011111001011000
31102100011020211100
4200302203321120
52111313001034
6130331031400
716426662252
oct4062437130
91370136740
10550125144
11262593188
1213429b560
1389c8544a
14530c2cd2
153346a099
hex20ca3e58

550125144 has 96 divisors (see below), whose sum is σ = 1536883920. Its totient is φ = 177666048.

The previous prime is 550125091. The next prime is 550125161. The reversal of 550125144 is 441521055.

It is a super-2 number, since 2×5501251442 = 605275348122041472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423504 + ... + 424800.

Almost surely, 2550125144 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 550125144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768441960).

550125144 is an abundant number, since it is smaller than the sum of its proper divisors (986758776).

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

550125144 is a wasteful number, since it uses less digits than its factorization.

550125144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 550125144 is about 23454.7467264091. The cubic root of 550125144 is about 819.3834071858.

Adding to 550125144 its reverse (441521055), we get a palindrome (991646199).

The spelling of 550125144 in words is "five hundred fifty million, one hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 137 172 258 274 344 387 411 516 548 774 822 1032 1096 1233 1297 1548 1644 2466 2594 3096 3288 3891 4932 5188 5891 7782 9864 10376 11673 11782 15564 17673 23346 23564 31128 35346 46692 47128 53019 55771 70692 93384 106038 111542 141384 167313 177689 212076 223084 334626 355378 424152 446168 501939 533067 669252 710756 1003878 1066134 1338504 1421512 1599201 2007756 2132268 3198402 4015512 4264536 6396804 7640627 12793608 15281254 22921881 30562508 45843762 61125016 68765643 91687524 137531286 183375048 275062572 550125144