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545164032 = 2837234409
BaseRepresentation
bin100000011111101…
…000101100000000
31101222211012110110
4200133220230000
52104030222112
6130032431320
716336550340
oct4037505400
91358735413
10545164032
1125a804896
121326a8540
1388c3928a
1452590d20
1532cda13c
hex207e8b00

545164032 has 144 divisors (see below), whose sum is σ = 1730695680. Its totient is φ = 148955136.

The previous prime is 545164027. The next prime is 545164033. The reversal of 545164032 is 230461545.

It is not an unprimeable number, because it can be changed into a prime (545164033) 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 15 ways as a sum of consecutive naturals, for example, 121444 + ... + 125852.

It is an arithmetic number, because the mean of its divisors is an integer number (12018720).

Almost surely, 2545164032 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 545164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865347840).

545164032 is an abundant number, since it is smaller than the sum of its proper divisors (1185531648).

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

545164032 is a wasteful number, since it uses less digits than its factorization.

545164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 545164032 is about 23348.7479749986. The cubic root of 545164032 is about 816.9128576842.

The spelling of 545164032 in words is "five hundred forty-five million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4409 4416 5152 5376 5888 7728 8818 8832 10304 13227 15456 17636 17664 20608 26454 30863 30912 35272 41216 52908 61726 61824 70544 92589 101407 105816 123452 123648 141088 185178 202814 211632 246904 282176 304221 370356 405628 423264 493808 564352 608442 709849 740712 811256 846528 987616 1128704 1216884 1419698 1481424 1622512 1693056 1975232 2129547 2433768 2839396 2962848 3245024 3386112 3950464 4259094 4867536 5678792 5925696 6490048 7900928 8518188 9735072 11357584 11851392 12980096 17036376 19470144 22715168 23702784 25960192 34072752 38940288 45430336 68145504 77880576 90860672 136291008 181721344 272582016 545164032