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536407361 = 7289123001
BaseRepresentation
bin11111111110001…
…110110101000001
31101101100022120022
4133332032311001
52044310013421
6125121023225
716202246600
oct3776166501
91341308508
10536407361
11255873876
1212b784b15
1387191609
1451351a37
153215a7ab
hex1ff8ed41

536407361 has 12 divisors (see below), whose sum is σ = 631000260. Its totient is φ = 454608000.

The previous prime is 536407351. The next prime is 536407367. The reversal of 536407361 is 163704635.

It can be written as a sum of positive squares in 2 ways, for example, as 111429136 + 424978225 = 10556^2 + 20615^2 .

It is not a de Polignac number, because 536407361 - 222 = 532213057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536407367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57140 + ... + 65861.

It is an arithmetic number, because the mean of its divisors is an integer number (52583355).

Almost surely, 2536407361 is an apocalyptic number.

It is an amenable number.

536407361 is a deficient number, since it is larger than the sum of its proper divisors (94592899).

536407361 is a wasteful number, since it uses less digits than its factorization.

536407361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123104 (or 123097 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 536407361 is about 23160.4697922991. The cubic root of 536407361 is about 812.5153535876.

The spelling of 536407361 in words is "five hundred thirty-six million, four hundred seven thousand, three hundred sixty-one".

Divisors: 1 7 49 89 623 4361 123001 861007 6027049 10947089 76629623 536407361