Search a number
-
+
453830256 = 243311432221
BaseRepresentation
bin11011000011001…
…110011001110000
31011121221222002000
4123003032121300
51412140032011
6113011054000
714150331165
oct3303163160
91147858060
10453830256
112131a2430
12107ba1300
137303b219
14443b806c
1529c98356
hex1b0ce670

453830256 has 160 divisors (see below), whose sum is σ = 1454787840. Its totient is φ = 134265600.

The previous prime is 453830239. The next prime is 453830263. The reversal of 453830256 is 652038354.

It is a happy number.

It is a super-2 number, since 2×4538302562 = 411923802522051072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 453830256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203226 + ... + 205446.

It is an arithmetic number, because the mean of its divisors is an integer number (9092424).

Almost surely, 2453830256 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 453830256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727393920).

453830256 is an abundant number, since it is smaller than the sum of its proper divisors (1000957584).

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

453830256 is a wasteful number, since it uses less digits than its factorization.

453830256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 453830256 is about 21303.2921399487. The cubic root of 453830256 is about 768.4774862755.

The spelling of 453830256 in words is "four hundred fifty-three million, eight hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 43 44 48 54 66 72 86 88 99 108 129 132 144 172 176 198 216 258 264 297 344 387 396 432 473 516 528 594 688 774 792 946 1032 1161 1188 1419 1548 1584 1892 2064 2221 2322 2376 2838 3096 3784 4257 4442 4644 4752 5676 6192 6663 7568 8514 8884 9288 11352 12771 13326 17028 17768 18576 19989 22704 24431 25542 26652 34056 35536 39978 48862 51084 53304 59967 68112 73293 79956 95503 97724 102168 106608 119934 146586 159912 191006 195448 204336 219879 239868 286509 293172 319824 382012 390896 439758 479736 573018 586344 659637 764024 859527 879516 959472 1050533 1146036 1172688 1319274 1528048 1719054 1759032 2101066 2292072 2578581 2638548 3151599 3438108 3518064 4202132 4584144 5157162 5277096 6303198 6876216 8404264 9454797 10314324 10554192 12606396 13752432 16808528 18909594 20628648 25212792 28364391 37819188 41257296 50425584 56728782 75638376 113457564 151276752 226915128 453830256