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545705984 = 212172461
BaseRepresentation
bin100000100001101…
…101000000000000
31102000211201212202
4200201231000000
52104200042414
6130052212332
716344265355
oct4041550000
91360751782
10545705984
11260044a8a
1213290a0a8
1389098b65
145269262c
1532d959de
hex2086d000

545705984 has 78 divisors (see below), whose sum is σ = 1161762294. Its totient is φ = 256245760.

The previous prime is 545705983. The next prime is 545705999. The reversal of 545705984 is 489507545.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 172134400 + 373571584 = 13120^2 + 19328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545705983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1183514 + ... + 1183974.

Almost surely, 2545705984 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 545705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580881147).

545705984 is an abundant number, since it is smaller than the sum of its proper divisors (616056310).

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

545705984 is an equidigital number, since it uses as much as digits as its factorization.

545705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The square root of 545705984 is about 23360.3506822993. The cubic root of 545705984 is about 817.1834679383.

The spelling of 545705984 in words is "five hundred forty-five million, seven hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 461 512 544 578 922 1024 1088 1156 1844 2048 2176 2312 3688 4096 4352 4624 7376 7837 8704 9248 14752 15674 17408 18496 29504 31348 34816 36992 59008 62696 69632 73984 118016 125392 133229 147968 236032 250784 266458 295936 472064 501568 532916 591872 944128 1003136 1065832 1183744 1888256 2006272 2131664 4012544 4263328 8025088 8526656 16050176 17053312 32100352 34106624 68213248 136426496 272852992 545705984