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535461416 = 237461457
BaseRepresentation
bin11111111010100…
…111111000101000
31101022120020222022
4133322213320220
52044034231131
6125044444012
716161230000
oct3772477050
91338506868
10535461416
112552880a6
1212b3a9608
1386c1cb99
1451187000
153202037b
hex1fea7e28

535461416 has 80 divisors (see below), whose sum is σ = 1193057940. Its totient is φ = 225227520.

The previous prime is 535461391. The next prime is 535461457. The reversal of 535461416 is 614164535.

It can be written as a sum of positive squares in 2 ways, for example, as 530380900 + 5080516 = 23030^2 + 2254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1171460 + ... + 1171916.

Almost surely, 2535461416 is an apocalyptic number.

535461416 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 535461416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596528970).

535461416 is an abundant number, since it is smaller than the sum of its proper divisors (657596524).

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

535461416 is an equidigital number, since it uses as much as digits as its factorization.

535461416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 535461416 is about 23140.0392393790. The cubic root of 535461416 is about 812.0374536826.

The spelling of 535461416 in words is "five hundred thirty-five million, four hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 343 392 427 457 488 686 854 914 1372 1708 1828 2401 2744 2989 3199 3416 3656 4802 5978 6398 9604 11956 12796 19208 20923 22393 23912 25592 27877 41846 44786 55754 83692 89572 111508 146461 156751 167384 179144 195139 223016 292922 313502 390278 585844 627004 780556 1097257 1171688 1254008 1365973 1561112 2194514 2731946 4389028 5463892 8778056 9561811 10927784 19123622 38247244 66932677 76494488 133865354 267730708 535461416