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52390784 = 274167149
BaseRepresentation
bin1100011111011…
…0101110000000
310122120201122102
43013312232000
5101403001114
65110525532
71204212545
oct307665600
9118521572
1052390784
1127633a76
12156668a8
13ab14684
146d5abcc
1548ed2de
hex31f6b80

52390784 has 64 divisors (see below), whose sum is σ = 109242000. Its totient is φ = 25006080.

The previous prime is 52390781. The next prime is 52390799. The reversal of 52390784 is 48709325.

52390784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52390781) 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 7 ways as a sum of consecutive naturals, for example, 351542 + ... + 351690.

Almost surely, 252390784 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 52390784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54621000).

52390784 is an abundant number, since it is smaller than the sum of its proper divisors (56851216).

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

52390784 is a wasteful number, since it uses less digits than its factorization.

52390784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 52390784 is about 7238.1478293829. The cubic root of 52390784 is about 374.1837868191.

The spelling of 52390784 in words is "fifty-two million, three hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 67 82 128 134 149 164 268 298 328 536 596 656 1072 1192 1312 2144 2384 2624 2747 4288 4768 5248 5494 6109 8576 9536 9983 10988 12218 19072 19966 21976 24436 39932 43952 48872 79864 87904 97744 159728 175808 195488 319456 351616 390976 409303 638912 781952 818606 1277824 1637212 3274424 6548848 13097696 26195392 52390784