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65198052 = 22327324809
BaseRepresentation
bin1111100010110…
…1011111100100
311112200101220200
43320231133210
5113142314202
610245230500
71421113533
oct370553744
9145611820
1065198052
1133891297
1219a02430
1310679c3a
14893231a
155acce1c
hex3e2d7e4

65198052 has 36 divisors (see below), whose sum is σ = 167070540. Its totient is φ = 21434112.

The previous prime is 65198047. The next prime is 65198057. The reversal of 65198052 is 25089156.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65198047) and next prime (65198057).

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 17089956 = 6936^2 + 4134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 65197998 and 65198016.

It is not an unprimeable number, because it can be changed into a prime (65198057) 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, 9777 + ... + 15032.

Almost surely, 265198052 is an apocalyptic number.

It is an amenable number.

65198052 is an abundant number, since it is smaller than the sum of its proper divisors (101872488).

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

65198052 is a wasteful number, since it uses less digits than its factorization.

65198052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24892 (or 24887 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 65198052 is about 8074.5310699755. The cubic root of 65198052 is about 402.4805273297.

The spelling of 65198052 in words is "sixty-five million, one hundred ninety-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 24809 49618 74427 99236 148854 223281 297708 446562 893124 1811057 3622114 5433171 7244228 10866342 16299513 21732684 32599026 65198052