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552467268 = 2232234359263
BaseRepresentation
bin100000111011011…
…111101101000100
31102111120020121200
4200323133231010
52112412423033
6130453142500
716455615513
oct4073375504
91374506550
10552467268
11263942921
1213502aa30
138a5c5512
145353267a
153377e013
hex20edfb44

552467268 has 144 divisors (see below), whose sum is σ = 1522160640. Its totient is φ = 168493248.

The previous prime is 552467257. The next prime is 552467269. The reversal of 552467268 is 862764255.

552467268 is a `hidden beast` number, since 5 + 524 + 67 + 2 + 68 = 666.

It is a super-2 number, since 2×5524672682 = 610440164422767648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (552467269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2100505 + ... + 2100767.

It is an arithmetic number, because the mean of its divisors is an integer number (10570560).

Almost surely, 2552467268 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 552467268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761080320).

552467268 is an abundant number, since it is smaller than the sum of its proper divisors (969693372).

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

552467268 is a wasteful number, since it uses less digits than its factorization.

552467268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 552467268 is about 23504.6222688219. The cubic root of 552467268 is about 820.5445856967.

The spelling of 552467268 in words is "five hundred fifty-two million, four hundred sixty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 59 69 86 92 118 129 138 172 177 207 236 258 263 276 354 387 414 516 526 531 708 774 789 828 989 1052 1062 1357 1548 1578 1978 2124 2367 2537 2714 2967 3156 3956 4071 4734 5074 5428 5934 6049 7611 8142 8901 9468 10148 11309 11868 12098 12213 15222 15517 16284 17802 18147 22618 22833 24196 24426 30444 31034 33927 35604 36294 45236 45666 46551 48852 54441 58351 62068 67854 72588 91332 93102 101781 108882 116702 135708 139653 175053 186204 203562 217764 233404 260107 279306 350106 356891 407124 520214 525159 558612 667231 700212 713782 780321 1040428 1050318 1070673 1334462 1427564 1560642 2001693 2100636 2141346 2340963 2668924 3121284 3212019 4003386 4282692 4681926 6005079 6424038 8006772 9363852 12010158 12848076 15346313 24020316 30692626 46038939 61385252 92077878 138116817 184155756 276233634 552467268