Search a number
-
+
52334352 = 2432727417
BaseRepresentation
bin1100011110100…
…0111100010000
310122110212020100
43013220330100
5101344144402
65105412400
71203556200
oct307507420
9118425210
1052334352
11275a5634
121563a100
13aac4a95
146d44400
1548db71c
hex31e8f10

52334352 has 90 divisors (see below), whose sum is σ = 170398878. Its totient is φ = 14950656.

The previous prime is 52334351. The next prime is 52334371. The reversal of 52334352 is 25343325.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 2547216 = 7056^2 + 1596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52334351) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3348 + ... + 10764.

Almost surely, 252334352 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 52334352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85199439).

52334352 is an abundant number, since it is smaller than the sum of its proper divisors (118064526).

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

52334352 is a wasteful number, since it uses less digits than its factorization.

52334352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7445 (or 7429 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 52334352 is about 7234.2485442512. The cubic root of 52334352 is about 374.0493896092.

Adding to 52334352 its reverse (25343325), we get a palindrome (77677677).

The spelling of 52334352 in words is "fifty-two million, three hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7417 14834 22251 29668 44502 51919 59336 66753 89004 103838 118672 133506 155757 178008 207676 267012 311514 356016 363433 415352 467271 534024 623028 726866 830704 934542 1068048 1090299 1246056 1453732 1869084 2180598 2492112 2907464 3270897 3738168 4361196 5814928 6541794 7476336 8722392 13083588 17444784 26167176 52334352