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536516316 = 2232783113227
BaseRepresentation
bin11111111110101…
…001011011011100
31101101112212000200
4133332221123130
52044322010231
6125123223500
716203212340
oct3776513334
91341485020
10536516316
11255938716
1212b817b90
13871cc09b
145137d620
153217cbe6
hex1ffa96dc

536516316 has 144 divisors (see below), whose sum is σ = 1589462784. Its totient is φ = 149442048.

The previous prime is 536516303. The next prime is 536516329. The reversal of 536516316 is 613615635.

536516316 is a `hidden beast` number, since 536 + 51 + 63 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (536516303) and next prime (536516329).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2363395 + ... + 2363621.

It is an arithmetic number, because the mean of its divisors is an integer number (11037936).

Almost surely, 2536516316 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 536516316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794731392).

536516316 is an abundant number, since it is smaller than the sum of its proper divisors (1052946468).

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

536516316 is a wasteful number, since it uses less digits than its factorization.

536516316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 536516316 is about 23162.8218488163. The cubic root of 536516316 is about 812.5703625376.

The spelling of 536516316 in words is "five hundred thirty-six million, five hundred sixteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 113 126 166 226 227 249 252 332 339 452 454 498 581 678 681 747 791 908 996 1017 1162 1356 1362 1494 1582 1589 1743 2034 2043 2324 2373 2724 2988 3164 3178 3486 4068 4086 4746 4767 5229 6356 6972 7119 8172 9379 9492 9534 10458 14238 14301 18758 18841 19068 20916 25651 28137 28476 28602 37516 37682 51302 56274 56523 57204 65653 75364 76953 84411 102604 112548 113046 131306 131887 153906 168822 169569 179557 196959 226092 230859 262612 263774 307812 337644 339138 359114 393918 395661 461718 527548 538671 590877 678276 718228 787836 791322 923436 1077342 1181754 1186983 1582644 1616013 2129033 2154684 2363508 2373966 3232026 4258066 4747932 6387099 6464052 8516132 12774198 14903231 19161297 25548396 29806462 38322594 44709693 59612924 76645188 89419386 134129079 178838772 268258158 536516316