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52812468 = 223231371279
BaseRepresentation
bin1100100101110…
…1101010110100
310200101011002100
43021131222310
5102004444333
65123542100
71210620132
oct311355264
9120334070
1052812468
11278a1875
121582a930
13ac315a7
14702a752
154983213
hex325dab4

52812468 has 72 divisors (see below), whose sum is σ = 141639680. Its totient is φ = 16562880.

The previous prime is 52812449. The next prime is 52812481. The reversal of 52812468 is 86421825.

52812468 is a `hidden beast` number, since 528 + 124 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40653 + ... + 41931.

Almost surely, 252812468 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 52812468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70819840).

52812468 is an abundant number, since it is smaller than the sum of its proper divisors (88827212).

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

52812468 is a wasteful number, since it uses less digits than its factorization.

52812468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1352 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 52812468 is about 7267.2187252071. The cubic root of 52812468 is about 375.1850180339.

It can be divided in two parts, 528 and 12468, that added together give a square (12996 = 1142).

The spelling of 52812468 in words is "fifty-two million, eight hundred twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1279 1332 2294 2558 3441 3837 4588 5116 6882 7674 10323 11511 13764 15348 20646 23022 39649 41292 46044 47323 79298 94646 118947 141969 158596 189292 237894 283938 356841 425907 475788 567876 713682 851814 1427364 1467013 1703628 2934026 4401039 5868052 8802078 13203117 17604156 26406234 52812468