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541213696 = 2107272
BaseRepresentation
bin100000010000100…
…100010000000000
31101201101111121201
4200100210100000
52102022314241
6125412030544
716261145332
oct4020442000
91351344551
10541213696
11258556951
12131302454
13881851ba
1451c43452
15327a9931
hex20424400

541213696 has 33 divisors (see below), whose sum is σ = 1083389079. Its totient is φ = 270234624.

The previous prime is 541213693. The next prime is 541213703. The reversal of 541213696 is 696312145.

The square root of 541213696 is 23264.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541213693) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 744085 + ... + 744811.

Almost surely, 2541213696 is an apocalyptic number.

541213696 is the 23264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541213696

541213696 is an abundant number, since it is smaller than the sum of its proper divisors (542175383).

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

541213696 is an frugal number, since it uses more digits than its factorization.

541213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 729 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The cubic root of 541213696 is about 814.9349169552.

The spelling of 541213696 in words is "five hundred forty-one million, two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 727 1024 1454 2908 5816 11632 23264 46528 93056 186112 372224 528529 744448 1057058 2114116 4228232 8456464 16912928 33825856 67651712 135303424 270606848 541213696