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52987968 = 2632118363
BaseRepresentation
bin1100101000100…
…0100001000000
310200201001211100
43022020201000
5102031103333
65131414400
71212250605
oct312104100
9120631740
1052987968
1127a01710
12158b4400
13ac93437
1470746ac
1549ba213
hex3288840

52987968 has 84 divisors (see below), whose sum is σ = 165707568. Its totient is φ = 16055040.

The previous prime is 52987951. The next prime is 52987981. The reversal of 52987968 is 86978925.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2155 + ... + 10517.

Almost surely, 252987968 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 52987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82853784).

52987968 is an abundant number, since it is smaller than the sum of its proper divisors (112719600).

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

52987968 is a wasteful number, since it uses less digits than its factorization.

52987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8379 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 52987968 is about 7279.2834812226. The cubic root of 52987968 is about 375.6001483462.

The spelling of 52987968 in words is "fifty-two million, nine hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 8363 16726 25089 33452 50178 66904 75267 91993 100356 133808 150534 183986 200712 267616 275979 301068 367972 401424 535232 551958 602136 735944 802848 827937 1103916 1204272 1471888 1605696 1655874 2207832 2408544 2943776 3311748 4415664 4817088 5887552 6623496 8831328 13246992 17662656 26493984 52987968