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553724424 = 233411131593
BaseRepresentation
bin100001000000010…
…010101000001000
31102120221010010000
4201000102220020
52113223140144
6130540123000
716502402631
oct4100225010
91376833100
10553724424
112646213a0
12135536460
138a9457b6
145377c888
153392b769
hex21012a08

553724424 has 160 divisors (see below), whose sum is σ = 1707726240. Its totient is φ = 166233600.

The previous prime is 553724419. The next prime is 553724441. The reversal of 553724424 is 424427355.

It is a super-3 number, since 3×5537244243 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 933472 + ... + 934064.

It is an arithmetic number, because the mean of its divisors is an integer number (10673289).

Almost surely, 2553724424 is an apocalyptic number.

553724424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553724424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853863120).

553724424 is an abundant number, since it is smaller than the sum of its proper divisors (1154001816).

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

553724424 is a wasteful number, since it uses less digits than its factorization.

553724424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 740 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 553724424 is about 23531.3498125373. The cubic root of 553724424 is about 821.1665055543.

The spelling of 553724424 in words is "five hundred fifty-three million, seven hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 131 132 162 198 216 262 264 297 324 393 396 524 593 594 648 786 792 891 1048 1179 1186 1188 1441 1572 1779 1782 2358 2372 2376 2882 3144 3537 3558 3564 4323 4716 4744 5337 5764 6523 7074 7116 7128 8646 9432 10611 10674 11528 12969 13046 14148 14232 16011 17292 19569 21222 21348 25938 26092 28296 32022 34584 38907 39138 42444 42696 48033 51876 52184 58707 64044 77683 77814 78276 84888 96066 103752 116721 117414 128088 155366 155628 156552 176121 192132 233049 233442 234828 310732 311256 352242 384264 466098 466884 469656 528363 621464 699147 704484 854513 932196 933768 1056726 1398294 1408968 1709026 1864392 2097441 2113452 2563539 2796588 3418052 4194882 4226904 5127078 5593176 6292323 6836104 7690617 8389764 10254156 12584646 15381234 16779528 20508312 23071851 25169292 30762468 46143702 50338584 61524936 69215553 92287404 138431106 184574808 276862212 553724424