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53132904 = 23321173919
BaseRepresentation
bin1100101010101…
…1111001101000
310200222102122100
43022223321220
5102100223104
65134453400
71213423266
oct312537150
9120872570
1053132904
1127aa05a0
1215964260
13b0143b6
1470b1436
1549e8139
hex32abe68

53132904 has 96 divisors (see below), whose sum is σ = 159307200. Its totient is φ = 15863040.

The previous prime is 53132897. The next prime is 53132917. The reversal of 53132904 is 40923135.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57357 + ... + 58275.

It is an arithmetic number, because the mean of its divisors is an integer number (1659450).

Almost surely, 253132904 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 53132904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79653600).

53132904 is an abundant number, since it is smaller than the sum of its proper divisors (106174296).

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

53132904 is a wasteful number, since it uses less digits than its factorization.

53132904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53132904 is about 7289.2320583173. The cubic root of 53132904 is about 375.9422915810.

The spelling of 53132904 in words is "fifty-three million, one hundred thirty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 919 1314 1606 1752 1838 2409 2628 2757 3212 3676 4818 5256 5514 6424 7227 7352 8271 9636 10109 11028 14454 16542 19272 20218 22056 28908 30327 33084 40436 57816 60654 66168 67087 80872 90981 121308 134174 181962 201261 242616 268348 363924 402522 536696 603783 727848 737957 805044 1207566 1475914 1610088 2213871 2415132 2951828 4427742 4830264 5903656 6641613 8855484 13283226 17710968 26566452 53132904