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52077024 = 25321931307
BaseRepresentation
bin1100011010101…
…0000111100000
310121222210020200
43012222013200
5101312431044
65100105200
71201435026
oct306520740
9117883220
1052077024
112743a26a
1215535200
13aa3490c
146cb8716
15488a369
hex31aa1e0

52077024 has 144 divisors (see below), whose sum is σ = 161441280. Its totient is φ = 15863040.

The previous prime is 52077013. The next prime is 52077029. The reversal of 52077024 is 42077025.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52077029) 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, 169479 + ... + 169785.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 252077024 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 52077024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80720640).

52077024 is an abundant number, since it is smaller than the sum of its proper divisors (109364256).

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

52077024 is a wasteful number, since it uses less digits than its factorization.

52077024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 52077024 is about 7216.4412281955. The cubic root of 52077024 is about 373.4353151101.

Subtracting from 52077024 its reverse (42077025), we obtain a palindrome (9999999).

The spelling of 52077024 in words is "fifty-two million, seventy-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 307 342 372 456 496 558 589 608 614 684 744 912 921 992 1116 1178 1228 1368 1488 1767 1824 1842 2232 2356 2456 2736 2763 2976 3534 3684 4464 4712 4912 5301 5472 5526 5833 7068 7368 8928 9424 9517 9824 10602 11052 11666 14136 14736 17499 18848 19034 21204 22104 23332 28272 28551 29472 34998 38068 42408 44208 46664 52497 56544 57102 69996 76136 84816 85653 88416 93328 104994 114204 139992 152272 169632 171306 180823 186656 209988 228408 279984 304544 342612 361646 419976 456816 542469 559968 685224 723292 839952 913632 1084938 1370448 1446584 1627407 1679904 2169876 2740896 2893168 3254814 4339752 5786336 6509628 8679504 13019256 17359008 26038512 52077024