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52409344 = 2101331127
BaseRepresentation
bin1100011111101…
…1010000000000
310122121200002211
43013323100000
5101404044334
65111151504
71204320631
oct307732000
9118550084
1052409344
1127646a09
1215675594
13ab1cc60
146d63888
154903a64
hex31fb400

52409344 has 88 divisors (see below), whose sum is σ = 117383168. Its totient is φ = 23224320.

The previous prime is 52409339. The next prime is 52409347. The reversal of 52409344 is 44390425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52409347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412609 + ... + 412735.

Almost surely, 252409344 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 52409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58691584).

52409344 is an abundant number, since it is smaller than the sum of its proper divisors (64973824).

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

52409344 is a wasteful number, since it uses less digits than its factorization.

52409344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 52409344 is about 7239.4298118015. The cubic root of 52409344 is about 374.2279678157.

Adding to 52409344 its reverse (44390425), we get a palindrome (96799769).

The spelling of 52409344 in words is "fifty-two million, four hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 127 128 208 248 254 256 403 416 496 508 512 806 832 992 1016 1024 1612 1651 1664 1984 2032 3224 3302 3328 3937 3968 4064 6448 6604 6656 7874 7936 8128 12896 13208 13312 15748 15872 16256 25792 26416 31496 31744 32512 51181 51584 52832 62992 65024 102362 103168 105664 125984 130048 204724 206336 211328 251968 409448 412672 422656 503936 818896 845312 1007872 1637792 1690624 2015744 3275584 4031488 6551168 13102336 26204672 52409344