Search a number
-
+
53128048 = 2431434753
BaseRepresentation
bin1100101010101…
…0101101110000
310200222011222111
43022222231300
5102100044143
65134415104
71213403161
oct312525560
9120864874
1053128048
1127a97986
1215961494
13b01211c
1470ad768
1549e699d
hex32aab70

53128048 has 80 divisors (see below), whose sum is σ = 113135616. Its totient is φ = 24111360.

The previous prime is 53128039. The next prime is 53128063. The reversal of 53128048 is 84082135.

53128048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002390 + ... + 1002442.

Almost surely, 253128048 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 53128048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567808).

53128048 is an abundant number, since it is smaller than the sum of its proper divisors (60007568).

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

53128048 is a wasteful number, since it uses less digits than its factorization.

53128048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 53128048 is about 7288.8989566326. The cubic root of 53128048 is about 375.9308383430.

The spelling of 53128048 in words is "fifty-three million, one hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 31 43 47 53 62 86 94 106 124 172 188 212 248 344 376 424 496 688 752 848 1333 1457 1643 2021 2279 2491 2666 2914 3286 4042 4558 4982 5332 5828 6572 8084 9116 9964 10664 11656 13144 16168 18232 19928 21328 23312 26288 32336 36464 39856 62651 70649 77221 107113 125302 141298 154442 214226 250604 282596 308884 428452 501208 565192 617768 856904 1002416 1130384 1235536 1713808 3320503 6641006 13282012 26564024 53128048