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52406370 = 23251921613
BaseRepresentation
bin1100011111101…
…0100001100010
310122121112000200
43013322201202
5101404000440
65111130030
71204306152
oct307724142
9118545020
1052406370
1127644755
1215673916
13ab1b7b3
146d62762
154902c30
hex31fa862

52406370 has 72 divisors (see below), whose sum is σ = 143894556. Its totient is φ = 13231296.

The previous prime is 52406357. The next prime is 52406377. The reversal of 52406370 is 7360425.

It is a happy number.

52406370 is a `hidden beast` number, since 5 + 24 + 0 + 637 + 0 = 666.

52406370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52403121 + 3249 = 7239^2 + 57^2 .

It is not an unprimeable number, because it can be changed into a prime (52406377) 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 35 ways as a sum of consecutive naturals, for example, 31684 + ... + 33296.

Almost surely, 252406370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52406370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71947278).

52406370 is an abundant number, since it is smaller than the sum of its proper divisors (91488186).

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

52406370 is a wasteful number, since it uses less digits than its factorization.

52406370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 52406370 is about 7239.2244059706. The cubic root of 52406370 is about 374.2208890842.

Adding to 52406370 its reverse (7360425), we get a palindrome (59766795).

The spelling of 52406370 in words is "fifty-two million, four hundred six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1613 1710 1805 2166 3226 3249 3610 4839 5415 6498 8065 9678 10830 14517 16130 16245 24195 29034 30647 32490 48390 61294 72585 91941 145170 153235 183882 275823 306470 459705 551646 582293 919410 1164586 1379115 1746879 2758230 2911465 3493758 5240637 5822930 8734395 10481274 17468790 26203185 52406370