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541476 = 223213289
BaseRepresentation
bin10000100001100100100
31000111202200
42010030210
5114311401
615334500
74413435
oct2041444
91014680
10541476
1133a901
12221430
1315c600
1410148c
15aa686
hex84324

541476 has 54 divisors (see below), whose sum is σ = 1498770. Its totient is φ = 164736.

The previous prime is 541469. The next prime is 541483. The reversal of 541476 is 674145.

It is an interprime number because it is at equal distance from previous prime (541469) and next prime (541483).

It can be written as a sum of positive squares in 3 ways, for example, as 14400 + 527076 = 120^2 + 726^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

541476 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6040 + ... + 6128.

It is an arithmetic number, because the mean of its divisors is an integer number (27755).

2541476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749385).

541476 is an abundant number, since it is smaller than the sum of its proper divisors (957294).

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

541476 is a wasteful number, since it uses less digits than its factorization.

541476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 541476 is about 735.8505283004. The cubic root of 541476 is about 81.5066550828.

The spelling of 541476 in words is "five hundred forty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 169 178 234 267 338 356 468 507 534 676 801 1014 1068 1157 1521 1602 2028 2314 3042 3204 3471 4628 6084 6942 10413 13884 15041 20826 30082 41652 45123 60164 90246 135369 180492 270738 541476