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541494336 = 26317237213
BaseRepresentation
bin100000010001101…
…000110001000000
31101201220202120210
4200101220301000
52102110304321
6125422034120
716263424455
oct4021506100
91351822523
10541494336
11258728789
12131418940
1388252b66
1451cb782c
1532812b76
hex20468c40

541494336 has 112 divisors (see below), whose sum is σ = 1583155584. Its totient is φ = 162471936.

The previous prime is 541494311. The next prime is 541494347. The reversal of 541494336 is 633494145.

It is a super-2 number, since 2×5414943362 = 586432231840161792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 541494294 and 541494303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71466 + ... + 78678.

Almost surely, 2541494336 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 541494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791577792).

541494336 is an abundant number, since it is smaller than the sum of its proper divisors (1041661248).

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

541494336 is a wasteful number, since it uses less digits than its factorization.

541494336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7258 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 541494336 is about 23270.0308551579. The cubic root of 541494336 is about 815.0757509226.

It can be divided in two parts, 54149 and 4336, that added together give a palindrome (58485).

The spelling of 541494336 in words is "five hundred forty-one million, four hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 2208 2346 3128 3264 4416 4692 6256 7213 9384 12512 14426 18768 21639 25024 28852 37536 43278 57704 75072 86556 115408 122621 165899 173112 230816 245242 331798 346224 367863 461632 490484 497697 663596 692448 735726 980968 995394 1327192 1384896 1471452 1961936 1990788 2654384 2820283 2942904 3923872 3981576 5308768 5640566 5885808 7847744 7963152 8460849 10617536 11281132 11771616 15926304 16921698 22562264 23543232 31852608 33843396 45124528 67686792 90249056 135373584 180498112 270747168 541494336