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530825184 = 25331135437
BaseRepresentation
bin11111101000111…
…011111111100000
31100222211201021000
4133220323333200
52041342401214
6124401232000
716103640201
oct3750737740
91328751230
10530825184
112527008aa
12129932600
1385c88856
14506db5a8
1531906809
hex1fa3bfe0

530825184 has 96 divisors (see below), whose sum is σ = 1562228640. Its totient is φ = 175343616.

The previous prime is 530825179. The next prime is 530825189. The reversal of 530825184 is 481528035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (530825179) and next prime (530825189).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530825189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94914 + ... + 100350.

It is an arithmetic number, because the mean of its divisors is an integer number (16273215).

Almost surely, 2530825184 is an apocalyptic number.

530825184 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 530825184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781114320).

530825184 is an abundant number, since it is smaller than the sum of its proper divisors (1031403456).

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

530825184 is a wasteful number, since it uses less digits than its factorization.

530825184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 530825184 is about 23039.6437472457. The cubic root of 530825184 is about 809.6870121346.

The spelling of 530825184 in words is "five hundred thirty million, eight hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 288 339 432 452 678 864 904 1017 1356 1808 2034 2712 3051 3616 4068 5424 5437 6102 8136 10848 10874 12204 16272 16311 21748 24408 32544 32622 43496 48816 48933 65244 86992 97632 97866 130488 146799 173984 195732 260976 293598 391464 521952 587196 614381 782928 1174392 1228762 1565856 1843143 2348784 2457524 3686286 4697568 4915048 5529429 7372572 9830096 11058858 14745144 16588287 19660192 22117716 29490288 33176574 44235432 58980576 66353148 88470864 132706296 176941728 265412592 530825184