Search a number
-
+
53197872 = 24371319641
BaseRepresentation
bin1100101011101…
…1110000110000
310201002201202120
43022323300300
5102104312442
65140114240
71214113560
oct312736060
9121081676
1053197872
1128035392
1215995980
13b037b40
1470cada0
154a0c4ec
hex32bbc30

53197872 has 160 divisors (see below), whose sum is σ = 178321920. Its totient is φ = 13271040.

The previous prime is 53197847. The next prime is 53197877. The reversal of 53197872 is 27879135.

53197872 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 (42).

It is not an unprimeable number, because it can be changed into a prime (53197877) 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 31 ways as a sum of consecutive naturals, for example, 82672 + ... + 83312.

It is an arithmetic number, because the mean of its divisors is an integer number (1114512).

Almost surely, 253197872 is an apocalyptic number.

53197872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53197872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89160960).

53197872 is an abundant number, since it is smaller than the sum of its proper divisors (125124048).

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

53197872 is a wasteful number, since it uses less digits than its factorization.

53197872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 53197872 is about 7293.6871334052. The cubic root of 53197872 is about 376.0954563737.

The spelling of 53197872 in words is "fifty-three million, one hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 641 728 741 798 912 988 1064 1092 1282 1456 1482 1596 1729 1923 1976 2128 2184 2564 2964 3192 3458 3846 3952 4368 4487 5128 5187 5928 6384 6916 7692 8333 8974 10256 10374 11856 12179 13461 13832 15384 16666 17948 20748 24358 24999 26922 27664 30768 33332 35896 36537 41496 48716 49998 53844 58331 66664 71792 73074 82992 85253 97432 99996 107688 116662 133328 146148 158327 170506 174993 194864 199992 215376 233324 255759 292296 316654 341012 349986 399984 466648 474981 511518 584592 633308 682024 699972 933296 949962 1023036 1108289 1266616 1364048 1399944 1899924 2046072 2216578 2533232 2799888 3324867 3799848 4092144 4433156 6649734 7599696 8866312 13299468 17732624 26598936 53197872