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53409312 = 25321123733
BaseRepresentation
bin1100101110111…
…1011000100000
310201111110210200
43023233120200
5102133044222
65144425200
71215654165
oct313573040
9121443720
1053409312
112816a230
1215a78200
13b0b0158
14714406c
154a4eeac
hex32ef620

53409312 has 144 divisors (see below), whose sum is σ = 173130048. Its totient is φ = 15459840.

The previous prime is 53409277. The next prime is 53409353. The reversal of 53409312 is 21390435.

53409312 is a `hidden beast` number, since 5 + 340 + 9 + 312 = 666.

53409312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 72498 + ... + 73230.

It is an arithmetic number, because the mean of its divisors is an integer number (1202292).

Almost surely, 253409312 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 53409312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86565024).

53409312 is an abundant number, since it is smaller than the sum of its proper divisors (119720736).

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

53409312 is a wasteful number, since it uses less digits than its factorization.

53409312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53409312 is about 7308.1674857655. The cubic root of 53409312 is about 376.5930733956.

Adding to 53409312 its reverse (21390435), we get a palindrome (74799747).

The spelling of 53409312 in words is "fifty-three million, four hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 733 736 759 792 828 1012 1056 1104 1466 1518 1584 1656 2024 2199 2208 2277 2932 3036 3168 3312 4048 4398 4554 5864 6072 6597 6624 8063 8096 8796 9108 11728 12144 13194 16126 16859 17592 18216 23456 24189 24288 26388 32252 33718 35184 36432 48378 50577 52776 64504 67436 70368 72567 72864 96756 101154 105552 129008 134872 145134 151731 185449 193512 202308 211104 258016 269744 290268 303462 370898 387024 404616 539488 556347 580536 606924 741796 774048 809232 1112694 1161072 1213848 1483592 1618464 1669041 2225388 2322144 2427696 2967184 3338082 4450776 4855392 5934368 6676164 8901552 13352328 17803104 26704656 53409312