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164040461 = 1312618497
BaseRepresentation
bin10011100011100…
…00111100001101
3102102200010012122
421301300330031
5313443243321
624135542325
74031215034
oct1161607415
9372603178
10164040461
1184662032
1246b2a9a5
1327ca6880
1417b0171b
15e6048ab
hex9c70f0d

164040461 has 4 divisors (see below), whose sum is σ = 176658972. Its totient is φ = 151421952.

The previous prime is 164040451. The next prime is 164040469.

164040461 is nontrivially palindromic in base 10.

164040461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29920900 + 134119561 = 5470^2 + 11581^2 .

It is a cyclic number.

It is not a de Polignac number, because 164040461 - 210 = 164039437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164040461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164040469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6309236 + ... + 6309261.

It is an arithmetic number, because the mean of its divisors is an integer number (44164743).

Almost surely, 2164040461 is an apocalyptic number.

It is an amenable number.

164040461 is a deficient number, since it is larger than the sum of its proper divisors (12618511).

164040461 is a wasteful number, since it uses less digits than its factorization.

164040461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618510.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 164040461 is about 12807.8281140871. The cubic root of 164040461 is about 547.4153783159.

The spelling of 164040461 in words is "one hundred sixty-four million, forty thousand, four hundred sixty-one".

Divisors: 1 13 12618497 164040461