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529092004 = 2272312532
BaseRepresentation
bin11111100010010…
…100110110100100
31100212120122210011
4133202110312210
52040421421004
6124300140004
716053131200
oct3742246644
91325518704
10529092004
11251727721
12129237604
13857cc9bc
14503a9b00
15316b3004
hex1f894da4

529092004 has 81 divisors (see below), whose sum is σ = 1134340641. Its totient is φ = 215298720.

The previous prime is 529092001. The next prime is 529092013. The reversal of 529092004 is 400290925.

The square root of 529092004 is 23002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 381420900 + 147671104 = 19530^2 + 12152^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (529092001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9982842 + ... + 9982894.

Almost surely, 2529092004 is an apocalyptic number.

529092004 is the 23002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 529092004

529092004 is an abundant number, since it is smaller than the sum of its proper divisors (605248637).

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

529092004 is a wasteful number, since it uses less digits than its factorization.

529092004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 529092004 is about 808.8048237478.

The spelling of 529092004 in words is "five hundred twenty-nine million, ninety-two thousand, four".

Divisors: 1 2 4 7 14 28 31 49 53 62 98 106 124 196 212 217 371 434 742 868 961 1484 1519 1643 1922 2597 2809 3038 3286 3844 5194 5618 6076 6572 6727 10388 11236 11501 13454 19663 23002 26908 39326 46004 47089 50933 78652 80507 87079 94178 101866 137641 161014 174158 188356 203732 275282 322028 348316 356531 550564 609553 713062 1219106 1426124 2438212 2495717 2699449 4266871 4991434 5398898 8533742 9982868 10797796 17067484 18896143 37792286 75584572 132273001 264546002 529092004