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53202248 = 23112175361
BaseRepresentation
bin1100101011110…
…0110101001000
310201002221202122
43022330311020
5102104432443
65140150412
71214132411
oct312746510
9121087678
1053202248
1128038700
1215998408
13b039b28
1470cc808
154a0d968
hex32bcd48

53202248 has 96 divisors (see below), whose sum is σ = 120226680. Its totient is φ = 21964800.

The previous prime is 53202241. The next prime is 53202251. The reversal of 53202248 is 84220235.

53202248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43850884 + 9351364 = 6622^2 + 3058^2 .

It is not an unprimeable number, because it can be changed into a prime (53202241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 872138 + ... + 872198.

Almost surely, 253202248 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 53202248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60113340).

53202248 is an abundant number, since it is smaller than the sum of its proper divisors (67024432).

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

53202248 is a wasteful number, since it uses less digits than its factorization.

53202248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 53202248 is about 7293.9871126840. The cubic root of 53202248 is about 376.1057684942.

The spelling of 53202248 in words is "fifty-three million, two hundred two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 53 61 68 88 106 121 122 136 187 212 242 244 374 424 484 488 583 671 748 901 968 1037 1166 1342 1496 1802 2057 2074 2332 2684 3233 3604 4114 4148 4664 5368 6413 6466 7208 7381 8228 8296 9911 11407 12826 12932 14762 16456 19822 22814 25652 25864 29524 35563 39644 45628 51304 54961 59048 71126 79288 91256 109021 109922 125477 142252 218042 219844 250954 284504 391193 436084 439688 501908 604571 782386 872168 1003816 1209142 1564772 2418284 3129544 4836568 6650281 13300562 26601124 53202248