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552016296 = 233813809
BaseRepresentation
bin100000111001110…
…001100110101000
31102110201100000000
4200321301212220
52112304010141
6130435343000
716452026646
oct4071614650
91373640000
10552016296
11263665017
12134a51a60
138a498180
1453456196
15336e05b6
hex20e719a8

552016296 has 144 divisors (see below), whose sum is σ = 1673954100. Its totient is φ = 169641216.

The previous prime is 552016277. The next prime is 552016373. The reversal of 552016296 is 692610255.

552016296 is a `hidden beast` number, since 5 + 5 + 20 + 1 + 629 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 551780100 + 236196 = 23490^2 + 486^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 552016296.

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 35 ways as a sum of consecutive naturals, for example, 681940 + ... + 682748.

Almost surely, 2552016296 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 552016296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836977050).

552016296 is an abundant number, since it is smaller than the sum of its proper divisors (1121937804).

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

552016296 is an equidigital number, since it uses as much as digits as its factorization.

552016296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 552016296 is about 23495.0270482926. The cubic root of 552016296 is about 820.3212582183.

The spelling of 552016296 in words is "five hundred fifty-two million, sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 809 936 972 1053 1404 1458 1618 1944 2106 2187 2427 2808 2916 3159 3236 4212 4374 4854 5832 6318 6472 6561 7281 8424 8748 9477 9708 10517 12636 13122 14562 17496 18954 19416 21034 21843 25272 26244 28431 29124 31551 37908 42068 43686 52488 56862 58248 63102 65529 75816 84136 85293 87372 94653 113724 126204 131058 170586 174744 189306 196587 227448 252408 262116 283959 341172 378612 393174 524232 567918 589761 682344 757224 786348 851877 1135836 1179522 1572696 1703754 1769283 2271672 2359044 2555631 3407508 3538566 4718088 5111262 5307849 6815016 7077132 7666893 10222524 10615698 14154264 15333786 20445048 21231396 23000679 30667572 42462792 46001358 61335144 69002037 92002716 138004074 184005432 276008148 552016296