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53075456 = 29759251
BaseRepresentation
bin1100101001110…
…1111000000000
310200212111211122
43022131320000
5102041403311
65133331412
71213063640
oct312357000
9120774748
1053075456
1127a61415
1215936b68
13acc41c5
147098520
1549d60db
hex329de00

53075456 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 22272000.

The previous prime is 53075437. The next prime is 53075461. The reversal of 53075456 is 65457035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211331 + ... + 211581.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 253075456 is an apocalyptic number.

53075456 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 53075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

53075456 is an abundant number, since it is smaller than the sum of its proper divisors (70666624).

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

53075456 is an equidigital number, since it uses as much as digits as its factorization.

53075456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The square root of 53075456 is about 7285.2903854273. The cubic root of 53075456 is about 375.8067514572.

The spelling of 53075456 in words is "fifty-three million, seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 251 256 413 448 472 502 512 826 896 944 1004 1652 1757 1792 1888 2008 3304 3514 3584 3776 4016 6608 7028 7552 8032 13216 14056 14809 15104 16064 26432 28112 29618 30208 32128 52864 56224 59236 64256 103663 105728 112448 118472 128512 207326 211456 224896 236944 414652 449792 473888 829304 899584 947776 1658608 1895552 3317216 3791104 6634432 7582208 13268864 26537728 53075456