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7684164 = 2232213449
BaseRepresentation
bin11101010100000001000100
3112110101200200
4131110001010
53431343124
6432410500
7122212545
oct35240104
915411620
107684164
114379254
1226a6a30
131790757
1410404cc
15a1bbc9
hex754044

7684164 has 18 divisors (see below), whose sum is σ = 19423950. Its totient is φ = 2561376.

The previous prime is 7684147. The next prime is 7684169. The reversal of 7684164 is 4614867.

It can be written as a sum of positive squares in only one way, i.e., 7617600 + 66564 = 2760^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 213449 = 7684164 / (7 + 6 + 8 + 4 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (7684169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106689 + ... + 106760.

Almost surely, 27684164 is an apocalyptic number.

It is an amenable number.

7684164 is an abundant number, since it is smaller than the sum of its proper divisors (11739786).

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

7684164 is a wasteful number, since it uses less digits than its factorization.

7684164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213459 (or 213454 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7684164 is about 2772.0324673423. The cubic root of 7684164 is about 197.3326168203.

The spelling of 7684164 in words is "seven million, six hundred eighty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 213449 426898 640347 853796 1280694 1921041 2561388 3842082 7684164