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541561536 = 26326714033
BaseRepresentation
bin100000010001111…
…001001011000000
31101202001011202200
4200101321023000
52102114432121
6125423313200
716264124415
oct4021711300
91352034680
10541561536
1125877421a
1213144b800
1388277619
1451cd410c
1532827a26
hex204792c0

541561536 has 84 divisors (see below), whose sum is σ = 1575569112. Its totient is φ = 177813504.

The previous prime is 541561513. The next prime is 541561543. The reversal of 541561536 is 635165145.

541561536 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 615 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 541561536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31576 + ... + 45608.

Almost surely, 2541561536 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 541561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787784556).

541561536 is an abundant number, since it is smaller than the sum of its proper divisors (1034007576).

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

541561536 is a wasteful number, since it uses less digits than its factorization.

541561536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14118 (or 14105 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 541561536 is about 23271.4747276575. The cubic root of 541561536 is about 815.1094667722.

The spelling of 541561536 in words is "five hundred forty-one million, five hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2412 3216 4288 4824 6432 9648 12864 14033 19296 28066 38592 42099 56132 84198 112264 126297 168396 224528 252594 336792 449056 505188 673584 898112 940211 1010376 1347168 1880422 2020752 2694336 2820633 3760844 4041504 5641266 7521688 8083008 8461899 11282532 15043376 16923798 22565064 30086752 33847596 45130128 60173504 67695192 90260256 135390384 180520512 270780768 541561536