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530429256 = 233372912097
BaseRepresentation
bin11111100111011…
…011010101001000
31100222002121011000
4133213123111020
52041242214011
6124344535000
716100400660
oct3747332510
91328077130
10530429256
11252460395
12129781460
1385b7a586
14506371a0
1531879356
hex1f9db548

530429256 has 128 divisors (see below), whose sum is σ = 1742112000. Its totient is φ = 146313216.

The previous prime is 530429233. The next prime is 530429269. The reversal of 530429256 is 652924035.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 530429256.

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 31 ways as a sum of consecutive naturals, for example, 37800 + ... + 49896.

It is an arithmetic number, because the mean of its divisors is an integer number (13610250).

Almost surely, 2530429256 is an apocalyptic number.

530429256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530429256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871056000).

530429256 is an abundant number, since it is smaller than the sum of its proper divisors (1211682744).

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

530429256 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 530429256 = (252460395)11.

530429256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12148 (or 12138 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 530429256 is about 23031.0498240962. The cubic root of 530429256 is about 809.4856542579.

The spelling of 530429256 in words is "five hundred thirty million, four hundred twenty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 10962 12097 14616 21924 24194 36291 43848 48388 72582 84679 96776 108873 145164 169358 217746 254037 290328 326619 338716 350813 435492 508074 653238 677432 701626 762111 870984 1016148 1052439 1306476 1403252 1524222 2032296 2104878 2286333 2455691 2612952 2806504 3048444 3157317 4209756 4572666 4911382 6096888 6314634 7367073 8419512 9145332 9471951 9822764 12629268 14734146 18290664 18943902 19645528 22101219 25258536 29468292 37887804 44202438 58936584 66303657 75775608 88404876 132607314 176809752 265214628 530429256