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452893896 = 233371323041
BaseRepresentation
bin11010111111101…
…001110011001000
31011120012101122000
4122333221303020
51411420101041
6112535031000
714136351240
oct3277516310
91146171560
10452893896
11212712984
1210780b460
1372aa0c70
1444212b20
1529b60bb6
hex1afe9cc8

452893896 has 128 divisors (see below), whose sum is σ = 1548422400. Its totient is φ = 119439360.

The previous prime is 452893879. The next prime is 452893901. The reversal of 452893896 is 698398254.

It is a super-2 number, since 2×4528938962 = 410225762068117632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8136 + ... + 31176.

It is an arithmetic number, because the mean of its divisors is an integer number (12097050).

Almost surely, 2452893896 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 452893896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774211200).

452893896 is an abundant number, since it is smaller than the sum of its proper divisors (1095528504).

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

452893896 is a wasteful number, since it uses less digits than its factorization.

452893896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23076 (or 23066 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 452893896 is about 21281.3039074207. The cubic root of 452893896 is about 767.9486049591.

The spelling of 452893896 in words is "four hundred fifty-two million, eight hundred ninety-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 23041 46082 69123 92164 138246 161287 184328 207369 276492 299533 322574 414738 483861 552984 599066 622107 645148 829476 898599 967722 1198132 1244214 1290296 1451583 1658952 1797198 1935444 2096731 2396264 2488428 2695797 2903166 3594396 3870888 4193462 4354749 4976856 5391594 5806332 6290193 7188792 8087391 8386924 8709498 10783188 11612664 12580386 16174782 16773848 17418996 18870579 21566376 25160772 32349564 34837992 37741158 50321544 56611737 64699128 75482316 113223474 150964632 226446948 452893896