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575006016 = 263131072153
BaseRepresentation
bin100010010001011…
…110010101000000
31111001222022222010
4202101132111000
52134200143031
6133020212520
720151320244
oct4221362500
91431868863
10575006016
11275637592
1214069a140
1392187360
145651c424
1535732246
hex2245e540

575006016 has 112 divisors (see below), whose sum is σ = 1654478784. Its totient is φ = 175190016.

The previous prime is 575005999. The next prime is 575006027. The reversal of 575006016 is 610600575.

It is a congruent number.

It is an unprimeable number.

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, 265996 + ... + 268148.

It is an arithmetic number, because the mean of its divisors is an integer number (14772132).

Almost surely, 2575006016 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 575006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827239392).

575006016 is an abundant number, since it is smaller than the sum of its proper divisors (1079472768).

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

575006016 is a wasteful number, since it uses less digits than its factorization.

575006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 575006016 is about 23979.2830585070. The cubic root of 575006016 is about 831.5546494771.

The spelling of 575006016 in words is "five hundred seventy-five million, six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 156 192 208 214 312 321 416 428 624 642 832 856 1248 1284 1391 1712 2153 2496 2568 2782 3424 4173 4306 5136 5564 6459 6848 8346 8612 10272 11128 12918 16692 17224 20544 22256 25836 27989 33384 34448 44512 51672 55978 66768 68896 83967 89024 103344 111956 133536 137792 167934 206688 223912 230371 267072 335868 413376 447824 460742 671736 691113 895648 921484 1343472 1382226 1791296 1842968 2686944 2764452 2994823 3685936 5373888 5528904 5989646 7371872 8984469 11057808 11979292 14743744 17968938 22115616 23958584 35937876 44231232 47917168 71875752 95834336 143751504 191668672 287503008 575006016