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536799816 = 233272294651
BaseRepresentation
bin11111111111101…
…110101001001000
31101102002020220200
4133333232221020
52044410043231
6125133252200
716205503020
oct3777565110
91342066820
10536799816
11256011713
1212b934060
138729b137
1451414a80
15321d6be6
hex1ffeea48

536799816 has 96 divisors (see below), whose sum is σ = 1669137600. Its totient is φ = 152668800.

The previous prime is 536799743. The next prime is 536799827. The reversal of 536799816 is 618997635.

536799816 is a `hidden beast` number, since 536 + 7 + 9 + 98 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113091 + ... + 117741.

It is an arithmetic number, because the mean of its divisors is an integer number (17386850).

Almost surely, 2536799816 is an apocalyptic number.

536799816 is a gapful number since it is divisible by the number (56) 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 536799816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834568800).

536799816 is an abundant number, since it is smaller than the sum of its proper divisors (1132337784).

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

536799816 is a wasteful number, since it uses less digits than its factorization.

536799816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4892 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 536799816 is about 23168.9407612864. The cubic root of 536799816 is about 812.7134604748.

The spelling of 536799816 in words is "five hundred thirty-six million, seven hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 229 252 458 504 687 916 1374 1603 1832 2061 2748 3206 4122 4651 4809 5496 6412 8244 9302 9618 12824 13953 14427 16488 18604 19236 27906 28854 32557 37208 38472 41859 55812 57708 65114 83718 97671 111624 115416 130228 167436 195342 260456 293013 334872 390684 586026 781368 1065079 1172052 2130158 2344104 3195237 4260316 6390474 7455553 8520632 9585711 12780948 14911106 19171422 22366659 25561896 29822212 38342844 44733318 59644424 67099977 76685688 89466636 134199954 178933272 268399908 536799816