Search a number
-
+
53450016 = 2532973263
BaseRepresentation
bin1100101111100…
…1010100100000
310201120112122020
43023321110200
5102140400031
65145341440
71216213644
oct313712440
9121515566
1053450016
1128197874
1215a97880
13b0c5839
147154c24
154a5c096
hex32f9520

53450016 has 96 divisors (see below), whose sum is σ = 147692160. Its totient is φ = 16902144.

The previous prime is 53450011. The next prime is 53450027. The reversal of 53450016 is 61005435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53450011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203101 + ... + 203363.

It is an arithmetic number, because the mean of its divisors is an integer number (1538460).

Almost surely, 253450016 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 53450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73846080).

53450016 is an abundant number, since it is smaller than the sum of its proper divisors (94242144).

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

53450016 is a wasteful number, since it uses less digits than its factorization.

53450016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53450016 is about 7310.9517848225. The cubic root of 53450016 is about 376.6887180901.

The spelling of 53450016 in words is "fifty-three million, four hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 73 87 96 116 146 174 219 232 263 292 348 438 464 526 584 696 789 876 928 1052 1168 1392 1578 1752 2104 2117 2336 2784 3156 3504 4208 4234 6312 6351 7008 7627 8416 8468 12624 12702 15254 16936 19199 22881 25248 25404 30508 33872 38398 45762 50808 57597 61016 67744 76796 91524 101616 115194 122032 153592 183048 203232 230388 244064 307184 366096 460776 556771 614368 732192 921552 1113542 1670313 1843104 2227084 3340626 4454168 6681252 8908336 13362504 17816672 26725008 53450016