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52830468 = 223441297
BaseRepresentation
bin1100100110001…
…0000100000100
310200102001210000
43021202010010
5102011033333
65124201300
71211023455
oct311420404
9120361700
1052830468
1127904349
1215839230
13ac39842
14703312c
154988713
hex3262104

52830468 has 90 divisors (see below), whose sum is σ = 143019338. Its totient is φ = 17003520.

The previous prime is 52830467. The next prime is 52830473. The reversal of 52830468 is 86403825.

It can be written as a sum of positive squares in 3 ways, for example, as 2022084 + 50808384 = 1422^2 + 7128^2 .

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

It is not an unprimeable number, because it can be changed into a prime (52830467) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 544596 + ... + 544692.

Almost surely, 252830468 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 52830468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71509669).

52830468 is an abundant number, since it is smaller than the sum of its proper divisors (90188870).

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

52830468 is a wasteful number, since it uses less digits than its factorization.

52830468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52830468 is about 7268.4570577255. The cubic root of 52830468 is about 375.2276377881.

The spelling of 52830468 in words is "fifty-two million, eight hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 97 108 123 162 164 194 246 291 324 369 388 492 582 738 873 1107 1164 1476 1681 1746 2214 2619 3321 3362 3492 3977 4428 5043 5238 6642 6724 7857 7954 10086 10476 11931 13284 15129 15714 15908 20172 23862 30258 31428 35793 45387 47724 60516 71586 90774 107379 136161 143172 163057 181548 214758 272322 322137 326114 429516 489171 544644 644274 652228 978342 1288548 1467513 1956684 2935026 4402539 5870052 8805078 13207617 17610156 26415234 52830468