Search a number
-
+
53227872 = 2532421439
BaseRepresentation
bin1100101100001…
…1000101100000
310201011020220200
43023003011200
5102111242442
65140505200
71214300205
oct313030540
9121136820
1053227872
1128055985
12159ab200
13b0486a9
1470d7cac
154a1634c
hex32c3160

53227872 has 72 divisors (see below), whose sum is σ = 152071920. Its totient is φ = 17660160.

The previous prime is 53227871. The next prime is 53227879. The reversal of 53227872 is 27872235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53227871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121029 + ... + 121467.

It is an arithmetic number, because the mean of its divisors is an integer number (2112110).

Almost surely, 253227872 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 53227872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76035960).

53227872 is an abundant number, since it is smaller than the sum of its proper divisors (98844048).

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

53227872 is a wasteful number, since it uses less digits than its factorization.

53227872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 865 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 53227872 is about 7295.7434165409. The cubic root of 53227872 is about 376.1661405509.

The spelling of 53227872 in words is "fifty-three million, two hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421 439 842 878 1263 1317 1684 1756 2526 2634 3368 3512 3789 3951 5052 5268 6736 7024 7578 7902 10104 10536 13472 14048 15156 15804 20208 21072 30312 31608 40416 42144 60624 63216 121248 126432 184819 369638 554457 739276 1108914 1478552 1663371 2217828 2957104 3326742 4435656 5914208 6653484 8871312 13306968 17742624 26613936 53227872