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52352304 = 24331151233
BaseRepresentation
bin1100011110110…
…1010100110000
310122111202212020
43013231110300
5101400233204
65110031440
71203662424
oct307552460
9118452766
1052352304
1127608074
1215648580
13aacccc4
146d4ab84
1548e1bd9
hex31ed530

52352304 has 80 divisors (see below), whose sum is σ = 141133824. Its totient is φ = 16704000.

The previous prime is 52352303. The next prime is 52352317. The reversal of 52352304 is 40325325.

52352304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (52352303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224572 + ... + 224804.

Almost surely, 252352304 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 52352304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70566912).

52352304 is an abundant number, since it is smaller than the sum of its proper divisors (88781520).

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

52352304 is a wasteful number, since it uses less digits than its factorization.

52352304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 52352304 is about 7235.4892025350. The cubic root of 52352304 is about 374.0921541717.

Adding to 52352304 its reverse (40325325), we get a palindrome (92677629).

The spelling of 52352304 in words is "fifty-two million, three hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 151 186 233 248 302 372 453 466 496 604 699 744 906 932 1208 1398 1488 1812 1864 2416 2796 3624 3728 4681 5592 7223 7248 9362 11184 14043 14446 18724 21669 28086 28892 35183 37448 43338 56172 57784 70366 74896 86676 105549 112344 115568 140732 173352 211098 224688 281464 346704 422196 562928 844392 1090673 1688784 2181346 3272019 4362692 6544038 8725384 13088076 17450768 26176152 52352304