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52307892 = 223272132281
BaseRepresentation
bin1100011110001…
…0011110110100
310122102111221100
43013202132310
5101342323032
65105050100
71203416100
oct307423664
9118374840
1052307892
112758776a
1215626930
13aab5a20
146d38900
1548d397c
hex31e27b4

52307892 has 108 divisors (see below), whose sum is σ = 165714276. Its totient is φ = 13789440.

The previous prime is 52307891. The next prime is 52307897. The reversal of 52307892 is 29870325.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18714276 + 33593616 = 4326^2 + 5796^2 .

It is a super-2 number, since 2×523078922 = 5472231130967328, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52307891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21792 + ... + 24072.

Almost surely, 252307892 is an apocalyptic number.

52307892 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52307892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82857138).

52307892 is an abundant number, since it is smaller than the sum of its proper divisors (113406384).

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

52307892 is a wasteful number, since it uses less digits than its factorization.

52307892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 52307892 is about 7232.4195121688. The cubic root of 52307892 is about 373.9863397834.

The spelling of 52307892 in words is "fifty-two million, three hundred seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2281 2548 3276 3822 4562 5733 6843 7644 9124 11466 13686 15967 20529 22932 27372 29653 31934 41058 47901 59306 63868 82116 88959 95802 111769 118612 143703 177918 191604 207571 223538 266877 287406 335307 355836 415142 447076 533754 574812 622713 670614 830284 1005921 1067508 1245426 1341228 1452997 1868139 2011842 2490852 2905994 3736278 4023684 4358991 5811988 7472556 8717982 13076973 17435964 26153946 52307892