Search a number
-
+
533066976 = 253213173823
BaseRepresentation
bin11111110001011…
…111010011100000
31101011001121102100
4133301133103200
52042431120401
6124521250400
716131665061
oct3761372340
91334047370
10533066976
112539a2122
1212a633a00
1386592060
1450b22568
1531beab86
hex1fc5f4e0

533066976 has 144 divisors (see below), whose sum is σ = 1643949216. Its totient is φ = 162874368.

The previous prime is 533066971. The next prime is 533066981. The reversal of 533066976 is 679660335.

It is an interprime number because it is at equal distance from previous prime (533066971) and next prime (533066981).

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 (533066971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647301 + ... + 648123.

It is an arithmetic number, because the mean of its divisors is an integer number (11416314).

Almost surely, 2533066976 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 533066976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821974608).

533066976 is an abundant number, since it is smaller than the sum of its proper divisors (1110882240).

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

533066976 is a wasteful number, since it uses less digits than its factorization.

533066976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 533066976 is about 23088.2432419619. The cubic root of 533066976 is about 810.8252403371.

The spelling of 533066976 in words is "five hundred thirty-three million, sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 173 208 234 288 312 346 416 468 519 624 692 823 936 1038 1248 1384 1557 1646 1872 2076 2249 2469 2768 3114 3292 3744 4152 4498 4938 5536 6228 6584 6747 7407 8304 8996 9876 10699 12456 13168 13494 14814 16608 17992 19752 20241 21398 24912 26336 26988 29628 32097 35984 39504 40482 42796 49824 53976 59256 64194 71968 79008 80964 85592 96291 107952 118512 128388 142379 161928 171184 192582 215904 237024 256776 284758 323856 342368 385164 427137 513552 569516 647712 770328 854274 1027104 1139032 1281411 1540656 1708548 1850927 2278064 2562822 3081312 3417096 3701854 4556128 5125644 5552781 6834192 7403708 10251288 11105562 13668384 14807416 16658343 20502576 22211124 29614832 33316686 41005152 44422248 59229664 66633372 88844496 133266744 177688992 266533488 533066976