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528314112 = 2832297907
BaseRepresentation
bin11111011111010…
…110111100000000
31100211010010201100
4133133112330000
52040222022422
6124231334400
716043411244
oct3737267400
91324103640
10528314112
11251246237
12128b21400
13855b9901
1450246424
15315ac7ac
hex1f7d6f00

528314112 has 108 divisors (see below), whose sum is σ = 1575985320. Its totient is φ = 170010624.

The previous prime is 528314077. The next prime is 528314153. The reversal of 528314112 is 211413825.

It is a super-3 number, since 3×5283141123 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62863 + ... + 70769.

Almost surely, 2528314112 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 528314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787992660).

528314112 is an abundant number, since it is smaller than the sum of its proper divisors (1047671208).

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

528314112 is a wasteful number, since it uses less digits than its factorization.

528314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7941 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 528314112 is about 22985.0845549891. The cubic root of 528314112 is about 808.4082503798.

Adding to 528314112 its reverse (211413825), we get a palindrome (739727937).

The spelling of 528314112 in words is "five hundred twenty-eight million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 7907 8352 11136 15814 16704 22272 23721 31628 33408 47442 63256 66816 71163 94884 126512 142326 189768 229303 253024 284652 379536 458606 506048 569304 687909 759072 917212 1012096 1138608 1375818 1518144 1834424 2024192 2063727 2277216 2751636 3036288 3668848 4127454 4554432 5503272 6072576 7337696 8254908 9108864 11006544 14675392 16509816 18217728 22013088 29350784 33019632 44026176 58701568 66039264 88052352 132078528 176104704 264157056 528314112