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52664346 = 2327478893
BaseRepresentation
bin1100100011100…
…1100000011010
310200002121220100
43020321200122
5101440224341
65120440230
71206432240
oct310714032
9120077810
1052664346
1127800559
1215779076
13abac047
146dcc790
1549543b6
hex323981a

52664346 has 48 divisors (see below), whose sum is σ = 133196544. Its totient is φ = 14725152.

The previous prime is 52664341. The next prime is 52664347. The reversal of 52664346 is 64346625.

52664346 is a `hidden beast` number, since 5 + 2 + 6 + 643 + 4 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52664346.

It is not an unprimeable number, because it can be changed into a prime (52664341) 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 23 ways as a sum of consecutive naturals, for example, 1476 + ... + 10368.

It is an arithmetic number, because the mean of its divisors is an integer number (2774928).

Almost surely, 252664346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52664346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66598272).

52664346 is an abundant number, since it is smaller than the sum of its proper divisors (80532198).

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

52664346 is a wasteful number, since it uses less digits than its factorization.

52664346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955 (or 8952 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 52664346 is about 7257.0204629724. The cubic root of 52664346 is about 374.8339318011.

The spelling of 52664346 in words is "fifty-two million, six hundred sixty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 8893 17786 26679 53358 62251 80037 124502 160074 186753 373506 417971 560259 835942 1120518 1253913 2507826 2925797 3761739 5851594 7523478 8777391 17554782 26332173 52664346