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531028224 = 283425609
BaseRepresentation
bin11111101001101…
…101100100000000
31101000020000210000
4133221231210000
52041420400344
6124405440000
716105444146
oct3751554400
91330200700
10531028224
1125282a401
12129a10000
138602a0ac
1450751596
1531946a69
hex1fa6d900

531028224 has 90 divisors (see below), whose sum is σ = 1583491910. Its totient is φ = 177002496.

The previous prime is 531028213. The next prime is 531028229. The reversal of 531028224 is 422820135.

It can be written as a sum of positive squares in only one way, i.e., 530841600 + 186624 = 23040^2 + 432^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (531028229) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7932 + ... + 33540.

Almost surely, 2531028224 is an apocalyptic number.

531028224 is a gapful number since it is divisible by the number (54) 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 531028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791745955).

531028224 is an abundant number, since it is smaller than the sum of its proper divisors (1052463686).

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

531028224 is an equidigital number, since it uses as much as digits as its factorization.

531028224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25637 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 531028224 is about 23044.0496441055. The cubic root of 531028224 is about 809.7902337472.

Adding to 531028224 its reverse (422820135), we get a palindrome (953848359).

The spelling of 531028224 in words is "five hundred thirty-one million, twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 25609 51218 76827 102436 153654 204872 230481 307308 409744 460962 614616 691443 819488 921924 1229232 1382886 1638976 1843848 2074329 2458464 2765772 3277952 3687696 4148658 4916928 5531544 6555904 7375392 8297316 9833856 11063088 14750784 16594632 19667712 22126176 29501568 33189264 44252352 59003136 66378528 88504704 132757056 177009408 265514112 531028224