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52688384 = 29761241
BaseRepresentation
bin1100100011111…
…1011000000000
310200010211212122
43020333120000
5101442012014
65121143412
71206562310
oct310773000
9120124778
1052688384
1127817621
121578ab68
13abb9c78
146dd7440
15495b58e
hex323f600

52688384 has 80 divisors (see below), whose sum is σ = 122792736. Its totient is φ = 22118400.

The previous prime is 52688381. The next prime is 52688401. The reversal of 52688384 is 48388625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52688381) 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, 218504 + ... + 218744.

Almost surely, 252688384 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 52688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61396368).

52688384 is an abundant number, since it is smaller than the sum of its proper divisors (70104352).

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

52688384 is an equidigital number, since it uses as much as digits as its factorization.

52688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 52688384 is about 7258.6764633782. The cubic root of 52688384 is about 374.8909525891.

The spelling of 52688384 in words is "fifty-two million, six hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 241 244 256 427 448 482 488 512 854 896 964 976 1687 1708 1792 1928 1952 3374 3416 3584 3856 3904 6748 6832 7712 7808 13496 13664 14701 15424 15616 26992 27328 29402 30848 31232 53984 54656 58804 61696 102907 107968 109312 117608 123392 205814 215936 218624 235216 411628 431872 470432 823256 863744 940864 1646512 1881728 3293024 3763456 6586048 7526912 13172096 26344192 52688384