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529772096 = 2677397167
BaseRepresentation
bin11111100100111…
…010111001000000
31100220212012200202
4133210322321000
52041110201341
6124322504332
716061663030
oct3744727100
91326765622
10529772096
11252051687
121295050a8
13859aa419
14505058c0
153179979b
hex1f93ae40

529772096 has 112 divisors (see below), whose sum is σ = 1237829376. Its totient is φ = 220299264.

The previous prime is 529772081. The next prime is 529772099. The reversal of 529772096 is 690277925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 529772096.

It is not an unprimeable number, because it can be changed into a prime (529772099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3172205 + ... + 3172371.

It is an arithmetic number, because the mean of its divisors is an integer number (11052048).

Almost surely, 2529772096 is an apocalyptic number.

529772096 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 529772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618914688).

529772096 is an abundant number, since it is smaller than the sum of its proper divisors (708057280).

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

529772096 is a wasteful number, since it uses less digits than its factorization.

529772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 529772096 is about 23016.7785756391. The cubic root of 529772096 is about 809.1512198201.

The spelling of 529772096 in words is "five hundred twenty-nine million, seven hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 97 112 146 167 194 224 292 334 388 448 511 584 668 679 776 1022 1168 1169 1336 1358 1552 2044 2336 2338 2672 2716 3104 4088 4672 4676 5344 5432 6208 7081 8176 9352 10688 10864 12191 14162 16199 16352 18704 21728 24382 28324 32398 32704 37408 43456 48764 49567 56648 64796 74816 85337 97528 99134 113296 113393 129592 170674 195056 198268 226592 226786 259184 341348 390112 396536 453184 453572 518368 682696 780224 793072 907144 1036736 1182527 1365392 1586144 1814288 2365054 2730784 3172288 3628576 4730108 5461568 7257152 8277689 9460216 16555378 18920432 33110756 37840864 66221512 75681728 132443024 264886048 529772096