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53144388 = 223211433121
BaseRepresentation
bin1100101010111…
…0101101000100
310201000000101200
43022232231010
5102101110023
65135022500
71213501623
oct312565504
9121000350
1053144388
1127aa9190
121596aa30
13b0196ab
1470b56ba
1549eb743
hex32aeb44

53144388 has 72 divisors (see below), whose sum is σ = 150005856. Its totient is φ = 15724800.

The previous prime is 53144383. The next prime is 53144393. The reversal of 53144388 is 88344135.

53144388 is a `hidden beast` number, since 531 + 4 + 43 + 88 = 666.

53144388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53144383) and next prime (53144393).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53144381) 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, 15468 + ... + 18588.

Almost surely, 253144388 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 53144388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75002928).

53144388 is an abundant number, since it is smaller than the sum of its proper divisors (96861468).

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

53144388 is a wasteful number, since it uses less digits than its factorization.

53144388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3180 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 53144388 is about 7290.0197530597. The cubic root of 53144388 is about 375.9693746748.

It can be divided in two parts, 53 and 144388, that added together give a palindrome (144441).

The spelling of 53144388 in words is "fifty-three million, one hundred forty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 3121 4257 5676 6242 8514 9363 12484 17028 18726 28089 34331 37452 56178 68662 102993 112356 134203 137324 205986 268406 308979 402609 411972 536812 617958 805218 1207827 1235916 1476233 1610436 2415654 2952466 4428699 4831308 5904932 8857398 13286097 17714796 26572194 53144388