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53423328 = 2537241277
BaseRepresentation
bin1100101111001…
…0110011100000
310201112012000210
43023302303200
5102134021303
65145014120
71216043100
oct313626340
9121465023
1053423328
1128179812
1215a84340
13b0b664a
147149200
154a54203
hex32f2ce0

53423328 has 144 divisors (see below), whose sum is σ = 167714064. Its totient is φ = 14837760.

The previous prime is 53423317. The next prime is 53423339. The reversal of 53423328 is 82332435.

53423328 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 (53423317) and next prime (53423339).

It is a junction number, because it is equal to n+sod(n) for n = 53423295 and 53423304.

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 23 ways as a sum of consecutive naturals, for example, 192726 + ... + 193002.

It is an arithmetic number, because the mean of its divisors is an integer number (1164681).

Almost surely, 253423328 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 53423328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83857032).

53423328 is an abundant number, since it is smaller than the sum of its proper divisors (114290736).

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

53423328 is a wasteful number, since it uses less digits than its factorization.

53423328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 53423328 is about 7309.1263499819. The cubic root of 53423328 is about 376.6260131375.

The spelling of 53423328 in words is "fifty-three million, four hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 147 164 168 196 224 246 277 287 294 328 336 392 492 554 574 588 656 672 784 831 861 984 1108 1148 1176 1312 1568 1662 1722 1939 1968 2009 2216 2296 2352 3324 3444 3878 3936 4018 4432 4592 4704 5817 6027 6648 6888 7756 8036 8864 9184 11357 11634 12054 13296 13573 13776 15512 16072 22714 23268 24108 26592 27146 27552 31024 32144 34071 40719 45428 46536 48216 54292 62048 64288 68142 79499 81438 90856 93072 96432 108584 136284 158998 162876 181712 186144 192864 217168 238497 272568 317996 325752 363424 434336 476994 545136 556493 635992 651504 953988 1090272 1112986 1271984 1303008 1669479 1907976 2225972 2543968 3338958 3815952 4451944 6677916 7631904 8903888 13355832 17807776 26711664 53423328