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541819872 = 253211171029
BaseRepresentation
bin100000010010111…
…000001111100000
31101202112022010200
4200102320033200
52102201213442
6125433025200
716266251526
oct4022701740
91352468120
10541819872
11258930320
12131555200
1388338099
1451d60316
153287934c
hex204b83e0

541819872 has 72 divisors (see below), whose sum is σ = 1680882840. Its totient is φ = 164186880.

The previous prime is 541819871. The next prime is 541819907. The reversal of 541819872 is 278918145.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541819871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82347 + ... + 88682.

It is an arithmetic number, because the mean of its divisors is an integer number (23345595).

Almost surely, 2541819872 is an apocalyptic number.

It is an amenable number.

541819872 is an abundant number, since it is smaller than the sum of its proper divisors (1139062968).

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

541819872 is a wasteful number, since it uses less digits than its factorization.

541819872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171056 (or 171045 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 541819872 is about 23277.0245521201. The cubic root of 541819872 is about 815.2390541670.

The spelling of 541819872 in words is "five hundred forty-one million, eight hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 171029 342058 513087 684116 1026174 1368232 1539261 1881319 2052348 2736464 3078522 3762638 4104696 5472928 5643957 6157044 7525276 8209392 11287914 12314088 15050552 16418784 16931871 22575828 24628176 30101104 33863742 45151656 49256352 60202208 67727484 90303312 135454968 180606624 270909936 541819872