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52262046 = 232171989101
BaseRepresentation
bin1100011101011…
…1010010011110
310122100012001100
43013113102132
5101334341141
65104053530
71203135324
oct307272236
9118305040
1052262046
1127556281
12156042a6
13aa9abb5
146d25d14
1548c50b6
hex31d749e

52262046 has 96 divisors (see below), whose sum is σ = 128887200. Its totient is φ = 15206400.

The previous prime is 52261999. The next prime is 52262047. The reversal of 52262046 is 64026225.

It is a super-3 number, since 3×522620463 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52262047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517396 + ... + 517496.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 252262046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52262046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443600).

52262046 is an abundant number, since it is smaller than the sum of its proper divisors (76625154).

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

52262046 is a wasteful number, since it uses less digits than its factorization.

52262046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52262046 is about 7229.2493386243. The cubic root of 52262046 is about 373.8770459545.

The spelling of 52262046 in words is "fifty-two million, two hundred sixty-two thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 89 101 102 114 153 171 178 202 267 303 306 323 342 534 606 646 801 909 969 1513 1602 1691 1717 1818 1919 1938 2907 3026 3382 3434 3838 4539 5073 5151 5757 5814 8989 9078 10146 10302 11514 13617 15219 15453 17271 17978 26967 27234 28747 30438 30906 32623 34542 53934 57494 65246 80901 86241 97869 152813 161802 170791 172482 195738 258723 293607 305626 341582 458439 512373 517446 587214 916878 1024746 1375317 1537119 2750634 2903447 3074238 5806894 8710341 17420682 26131023 52262046