Search a number
-
+
53005250808 = 233211361710559
BaseRepresentation
bin110001010111010110…
…111111000011111000
312001211000201201201100
4301113112333003320
51332023321011213
640203354251400
73554343124626
oct612726770370
9161730651640
1053005250808
112053009a504
12a333426b60
134cc9572243
1427cb902516
1515a3624773
hexc575bf0f8

53005250808 has 96 divisors (see below), whose sum is σ = 145074758400. Its totient is φ = 17482020864.

The previous prime is 53005250807. The next prime is 53005250813. The reversal of 53005250808 is 80805250035.

53005250808 is a `hidden beast` number, since 53 + 0 + 0 + 525 + 0 + 80 + 8 = 666.

It is a super-2 number, since 2×530052508082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53005250807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5014633 + ... + 5025191.

It is an arithmetic number, because the mean of its divisors is an integer number (1511195400).

Almost surely, 253005250808 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 53005250808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72537379200).

53005250808 is an abundant number, since it is smaller than the sum of its proper divisors (92069507592).

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

53005250808 is a wasteful number, since it uses less digits than its factorization.

53005250808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 53005250808 in words is "fifty-three billion, five million, two hundred fifty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 617 678 904 1017 1234 1356 1851 2034 2468 2712 3702 4068 4936 5553 7404 8136 10559 11106 14808 21118 22212 31677 42236 44424 63354 69721 84472 95031 126708 139442 190062 209163 253416 278884 380124 418326 557768 627489 760248 836652 1193167 1254978 1673304 2386334 2509956 3579501 4772668 5019912 6514903 7159002 9545336 10738503 13029806 14318004 19544709 21477006 26059612 28636008 39089418 42954012 52119224 58634127 78178836 85908024 117268254 156357672 234536508 469073016 736184039 1472368078 2208552117 2944736156 4417104234 5889472312 6625656351 8834208468 13251312702 17668416936 26502625404 53005250808