Search a number
-
+
210521248 = 2572316171
BaseRepresentation
bin11001000110001…
…00110010100000
3112200010120212021
430203010302200
5412343134443
632520111224
75134254400
oct1443046240
9480116767
10210521248
11a8919803
125a605514
13347cc1b2
141dd60800
15137369ed
hexc8c4ca0

210521248 has 144 divisors (see below), whose sum is σ = 512967168. Its totient is φ = 84672000.

The previous prime is 210521239. The next prime is 210521261. The reversal of 210521248 is 842125012.

210521248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2965053 + ... + 2965123.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2210521248 is an apocalyptic number.

210521248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210521248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584).

210521248 is an abundant number, since it is smaller than the sum of its proper divisors (302445920).

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

210521248 is a wasteful number, since it uses less digits than its factorization.

210521248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 210521248 is about 14509.3503645063. The cubic root of 210521248 is about 594.8835758366.

The spelling of 210521248 in words is "two hundred ten million, five hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 61 62 71 98 112 122 124 142 196 217 224 244 248 284 392 427 434 488 496 497 568 784 854 868 976 992 994 1136 1519 1568 1708 1736 1891 1952 1988 2201 2272 2989 3038 3416 3472 3479 3782 3976 4331 4402 5978 6076 6832 6944 6958 7564 7952 8662 8804 11956 12152 13237 13664 13916 15128 15407 15904 17324 17608 23912 24304 26474 27832 30256 30317 30814 34648 35216 47824 48608 52948 55664 60512 60634 61628 69296 70432 92659 95648 105896 107849 111328 121268 123256 134261 138592 185318 211792 212219 215698 242536 246512 268522 370636 423584 424438 431396 485072 493024 537044 741272 848876 862792 939827 970144 1074088 1482544 1697752 1725584 1879654 2148176 2965088 3395504 3451168 3759308 4296352 6578789 6791008 7518616 13157578 15037232 26315156 30074464 52630312 105260624 210521248