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529396 = 22723773
BaseRepresentation
bin10000001001111110100
3222220012021
42001033310
5113420041
615202524
74333300
oct2011764
9886167
10529396
1133181a
12216444
13156c6a
14dad00
15a6cd1
hex813f4

529396 has 36 divisors (see below), whose sum is σ = 1121988. Its totient is φ = 217728.

The previous prime is 529393. The next prime is 529411. The reversal of 529396 is 693925.

529396 = T1 + T2 + ... + T146.

It is a happy number.

529396 is a nontrivial binomial coefficient, being equal to C(148, 3).

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 132496 = 630^2 + 364^2 .

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (529393) by changing a digit.

It is the 146-th tetrahedral number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7216 + ... + 7288.

2529396 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 529396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560994).

529396 is an abundant number, since it is smaller than the sum of its proper divisors (592592).

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

529396 is a wasteful number, since it uses less digits than its factorization.

529396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its digits is 14580, while the sum is 34.

The square root of 529396 is about 727.5960417704. The cubic root of 529396 is about 80.8959696848.

The spelling of 529396 in words is "five hundred twenty-nine thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 37 49 73 74 98 146 148 196 259 292 511 518 1022 1036 1813 2044 2701 3577 3626 5402 7154 7252 10804 14308 18907 37814 75628 132349 264698 529396