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52228032 = 2632311827
BaseRepresentation
bin1100011100111…
…0111111000000
310122021110101120
43013032333000
5101332244112
65103232240
71202634213
oct307167700
9118243346
1052228032
112753276a
12155a8680
13aa8857c
146d1777a
1548b9e8c
hex31cefc0

52228032 has 56 divisors (see below), whose sum is σ = 144206976. Its totient is φ = 16651008.

The previous prime is 52228021. The next prime is 52228037. The reversal of 52228032 is 23082225.

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

It is a junction number, because it is equal to n+sod(n) for n = 52227993 and 52228011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52228037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1498 + ... + 10329.

Almost surely, 252228032 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 52228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72103488).

52228032 is an abundant number, since it is smaller than the sum of its proper divisors (91978944).

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

52228032 is a wasteful number, since it uses less digits than its factorization.

52228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11865 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 52228032 is about 7226.8964293118. The cubic root of 52228032 is about 373.7959175212.

The spelling of 52228032 in words is "fifty-two million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 11827 23654 35481 47308 70962 94616 141924 189232 272021 283848 378464 544042 567696 756928 816063 1088084 1135392 1632126 2176168 2270784 3264252 4352336 6528504 8704672 13057008 17409344 26114016 52228032