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53059904 = 264173277
BaseRepresentation
bin1100101001101…
…0000101000000
310200211201111122
43022122011000
5102040404104
65133131412
71213000412
oct312320500
9120751448
1053059904
1127a50767
1215929b68
13acba0c1
1470929b2
1549d16be
hex329a140

53059904 has 56 divisors (see below), whose sum is σ = 109731048. Its totient is φ = 25436160.

The previous prime is 53059891. The next prime is 53059921. The reversal of 53059904 is 40995035.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 52998400 = 248^2 + 7280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191414 + ... + 191690.

It is an arithmetic number, because the mean of its divisors is an integer number (1959483).

Almost surely, 253059904 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 53059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54865524).

53059904 is an abundant number, since it is smaller than the sum of its proper divisors (56671144).

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

53059904 is a wasteful number, since it uses less digits than its factorization.

53059904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 53059904 is about 7284.2229510086. Note that the first 3 decimals coincide. The cubic root of 53059904 is about 375.7700419749.

The spelling of 53059904 in words is "fifty-three million, fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 41 64 73 82 146 164 277 292 328 554 584 656 1108 1168 1312 2216 2336 2624 2993 4432 4672 5986 8864 11357 11972 17728 20221 22714 23944 40442 45428 47888 80884 90856 95776 161768 181712 191552 323536 363424 647072 726848 829061 1294144 1658122 3316244 6632488 13264976 26529952 53059904