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53105248 = 257383619
BaseRepresentation
bin1100101010010…
…1001001100000
310200221000201001
43022211021200
5102043331443
65134121344
71213246540
oct312451140
9120830631
1053105248
1127a81839
1215950254
13b004931
1470a5320
1549ded4d
hex32a5260

53105248 has 48 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 22663296.

The previous prime is 53105243. The next prime is 53105257. The reversal of 53105248 is 84250135.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53105243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85483 + ... + 86101.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 253105248 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 53105248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

53105248 is an abundant number, since it is smaller than the sum of its proper divisors (66887072).

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

53105248 is a wasteful number, since it uses less digits than its factorization.

53105248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 53105248 is about 7287.3347665659. The cubic root of 53105248 is about 375.8770535102.

The spelling of 53105248 in words is "fifty-three million, one hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 383 619 766 1238 1532 2476 2681 3064 4333 4952 5362 6128 8666 9904 10724 12256 17332 19808 21448 34664 42896 69328 85792 138656 237077 474154 948308 1659539 1896616 3319078 3793232 6638156 7586464 13276312 26552624 53105248