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52413952 = 29167613
BaseRepresentation
bin1100011111110…
…0011000000000
310122121220102111
43013330120000
5101404221302
65111225104
71204340233
oct307743000
9118556374
1052413952
112764a418
1215678194
13ab22096
146d6541a
1549050d7
hex31fc600

52413952 has 40 divisors (see below), whose sum is σ = 105524496. Its totient is φ = 26007552.

The previous prime is 52413937. The next prime is 52413953. The reversal of 52413952 is 25931425.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52413953) 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 3 ways as a sum of consecutive naturals, for example, 85198 + ... + 85810.

Almost surely, 252413952 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 52413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52762248).

52413952 is an abundant number, since it is smaller than the sum of its proper divisors (53110544).

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

52413952 is an equidigital number, since it uses as much as digits as its factorization.

52413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 52413952 is about 7239.7480619149. The cubic root of 52413952 is about 374.2389352744.

The spelling of 52413952 in words is "fifty-two million, four hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 512 613 668 1226 1336 2452 2672 4904 5344 9808 10688 19616 21376 39232 42752 78464 85504 102371 156928 204742 313856 409484 818968 1637936 3275872 6551744 13103488 26206976 52413952