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541376 = 2611769
BaseRepresentation
bin10000100001011000000
31000111121222
42010023000
5114311001
615334212
74413233
oct2041300
91014558
10541376
1133a820
12221368
1315c554
1410141a
15aa61b
hex842c0

541376 has 28 divisors (see below), whose sum is σ = 1173480. Its totient is φ = 245760.

The previous prime is 541369. The next prime is 541381. The reversal of 541376 is 673145.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

541376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 320 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (41910).

2541376 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 541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586740).

541376 is an abundant number, since it is smaller than the sum of its proper divisors (632104).

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

541376 is a wasteful number, since it uses less digits than its factorization.

541376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 782 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 541376 is about 735.7825765809. The cubic root of 541376 is about 81.5016372135.

Subtracting 541376 from its reverse (673145), we obtain a square (131769 = 3632).

The spelling of 541376 in words is "five hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 769 1538 3076 6152 8459 12304 16918 24608 33836 49216 67672 135344 270688 541376