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52292466 = 234417873
BaseRepresentation
bin1100011101111…
…0101101110010
310122101201210000
43013132231302
5101341324331
65104450430
71203323112
oct307365562
9118351700
1052292466
1127577116
1215619a16
13aaab9b5
146d33042
1548ce0e6
hex31deb72

52292466 has 40 divisors (see below), whose sum is σ = 120047004. Its totient is φ = 17003520.

The previous prime is 52292453. The next prime is 52292477. The reversal of 52292466 is 66429225.

52292466 is a `hidden beast` number, since 522 + 92 + 46 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36252441 + 16040025 = 6021^2 + 4005^2 .

It is a super-2 number, since 2×522924662 = 5469004000722312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52292466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2706 + ... + 10578.

Almost surely, 252292466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52292466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023502).

52292466 is an abundant number, since it is smaller than the sum of its proper divisors (67754538).

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

52292466 is a wasteful number, since it uses less digits than its factorization.

52292466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928 (or 7919 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 52292466 is about 7231.3529854378. The cubic root of 52292466 is about 373.9495723520.

The spelling of 52292466 in words is "fifty-two million, two hundred ninety-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 7873 15746 23619 47238 70857 141714 212571 322793 425142 637713 645586 968379 1275426 1936758 2905137 5810274 8715411 17430822 26146233 52292466