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541042164 = 2232131156073
BaseRepresentation
bin100000001111111…
…010010111110100
31101201001210022200
4200033322113310
52102001322124
6125404224500
716256532255
oct4017722764
91351053280
10541042164
11258449a93
1213123b130
13881250c0
1451bdab2c
1532773bc9
hex203fa5f4

541042164 has 36 divisors (see below), whose sum is σ = 1472838276. Its totient is φ = 166474368.

The previous prime is 541042147. The next prime is 541042169. The reversal of 541042164 is 461240145.

It can be written as a sum of positive squares in 2 ways, for example, as 334890000 + 206152164 = 18300^2 + 14358^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541042169) 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, 577569 + ... + 578504.

Almost surely, 2541042164 is an apocalyptic number.

It is an amenable number.

541042164 is an abundant number, since it is smaller than the sum of its proper divisors (931796112).

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

541042164 is a wasteful number, since it uses less digits than its factorization.

541042164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156096 (or 1156091 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 541042164 is about 23260.3130675406. The cubic root of 541042164 is about 814.8488128354.

It can be divided in two parts, 5410 and 42164, that added together give a palindrome (47574).

The spelling of 541042164 in words is "five hundred forty-one million, forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1156073 2312146 3468219 4624292 6936438 10404657 13872876 15028949 20809314 30057898 41618628 45086847 60115796 90173694 135260541 180347388 270521082 541042164