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53701248 = 2731091283
BaseRepresentation
bin1100110011011…
…0101010000000
310202001022021010
43030312222000
5102221414443
65155000520
71221311256
oct314665200
9122038233
1053701248
11283495a7
1215b99140
13b182cb3
1471bc5d6
154aab733
hex3336a80

53701248 has 64 divisors (see below), whose sum is σ = 144064800. Its totient is φ = 17722368.

The previous prime is 53701247. The next prime is 53701259. The reversal of 53701248 is 84210735.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (53701247) by changing a digit.

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, 41215 + ... + 42497.

Almost surely, 253701248 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 53701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72032400).

53701248 is an abundant number, since it is smaller than the sum of its proper divisors (90363552).

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

53701248 is a wasteful number, since it uses less digits than its factorization.

53701248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 53701248 is about 7328.1135362384. The cubic root of 53701248 is about 377.2779812286.

The spelling of 53701248 in words is "fifty-three million, seven hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1283 1308 1744 2566 2616 3488 3849 5132 5232 6976 7698 10264 10464 13952 15396 20528 20928 30792 41056 41856 61584 82112 123168 139847 164224 246336 279694 419541 492672 559388 839082 1118776 1678164 2237552 3356328 4475104 6712656 8950208 13425312 17900416 26850624 53701248