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540803776 = 2641434793
BaseRepresentation
bin100000001111000…
…000001011000000
31101200121200022111
4200033000023000
52101421210101
6125355145104
716254520252
oct4017001300
91350550274
10540803776
112582a6977
12131145194
1388070746
1451b77cd2
1532728251
hex203c02c0

540803776 has 56 divisors (see below), whose sum is σ = 1125132624. Its totient is φ = 257617920.

The previous prime is 540803771. The next prime is 540803839. The reversal of 540803776 is 677308045.

It is not an unprimeable number, because it can be changed into a prime (540803771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110436 + ... + 115228.

It is an arithmetic number, because the mean of its divisors is an integer number (20091654).

Almost surely, 2540803776 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 540803776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562566312).

540803776 is an abundant number, since it is smaller than the sum of its proper divisors (584328848).

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

540803776 is a wasteful number, since it uses less digits than its factorization.

540803776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 540803776 is about 23255.1881523242. The cubic root of 540803776 is about 814.7291187042.

The spelling of 540803776 in words is "five hundred forty million, eight hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 164 172 328 344 656 688 1312 1376 1763 2624 2752 3526 4793 7052 9586 14104 19172 28208 38344 56416 76688 112832 153376 196513 206099 306752 393026 412198 786052 824396 1572104 1648792 3144208 3297584 6288416 6595168 8450059 12576832 13190336 16900118 33800236 67600472 135200944 270401888 540803776