Search a number
-
+
52433406 = 2341779241
BaseRepresentation
bin1100100000000…
…1000111111110
310122122220010000
43020001013332
5101410332111
65111455130
71204451034
oct310010776
9118586100
1052433406
1127662aa3
12156874a6
13ab2abac
146d6c554
15490ac56
hex32011fe

52433406 has 80 divisors (see below), whose sum is σ = 126498240. Its totient is φ = 16174080.

The previous prime is 52433401. The next prime is 52433413. The reversal of 52433406 is 60433425.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 52433406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52433401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217446 + ... + 217686.

It is an arithmetic number, because the mean of its divisors is an integer number (1581228).

Almost surely, 252433406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52433406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249120).

52433406 is an abundant number, since it is smaller than the sum of its proper divisors (74064834).

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

52433406 is a wasteful number, since it uses less digits than its factorization.

52433406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 52433406 is about 7241.0914923097. The cubic root of 52433406 is about 374.2852304777.

It can be divided in two parts, 5243 and 3406, that added together give a square (8649 = 932).

The spelling of 52433406 in words is "fifty-two million, four hundred thirty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 81 102 153 158 162 237 241 306 459 474 482 711 723 918 1343 1377 1422 1446 2133 2169 2686 2754 4029 4097 4266 4338 6399 6507 8058 8194 12087 12291 12798 13014 19039 19521 24174 24582 36261 36873 38078 39042 57117 72522 73746 108783 110619 114234 171351 217566 221238 323663 331857 342702 514053 647326 663714 970989 1028106 1542159 1941978 2912967 3084318 5825934 8738901 17477802 26216703 52433406