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452943648 = 253217711303
BaseRepresentation
bin11010111111110…
…101111100100000
31011120021220212200
4122333311330200
51411423144043
6112540053200
714136646263
oct3277657440
91146256780
10452943648
112127472a3
12107834200
1372aba7c1
1444226cda
1529b707d3
hex1aff5f20

452943648 has 144 divisors (see below), whose sum is σ = 1384096896. Its totient is φ = 139991040.

The previous prime is 452943637. The next prime is 452943707. The reversal of 452943648 is 846349254.

It is a tau number, because it is divible by the number of its divisors (144).

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, 346965 + ... + 348267.

It is an arithmetic number, because the mean of its divisors is an integer number (9611784).

Almost surely, 2452943648 is an apocalyptic number.

452943648 is a gapful number since it is divisible by the number (48) 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 452943648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692048448).

452943648 is an abundant number, since it is smaller than the sum of its proper divisors (931153248).

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

452943648 is a wasteful number, since it uses less digits than its factorization.

452943648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1396 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 452943648 is about 21282.4727886587. The cubic root of 452943648 is about 767.9767245550.

The spelling of 452943648 in words is "four hundred fifty-two million, nine hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 71 72 96 102 136 142 144 153 204 213 272 284 288 306 408 426 544 568 612 639 816 852 1136 1207 1224 1278 1303 1632 1704 2272 2414 2448 2556 2606 3408 3621 3909 4828 4896 5112 5212 6816 7242 7818 9656 10224 10424 10863 11727 14484 15636 19312 20448 20848 21726 22151 23454 28968 31272 38624 41696 43452 44302 46908 57936 62544 66453 86904 88604 92513 93816 115872 125088 132906 173808 177208 185026 187632 199359 265812 277539 347616 354416 370052 375264 398718 531624 555078 708832 740104 797436 832617 1063248 1110156 1480208 1572721 1594872 1665234 2126496 2220312 2960416 3145442 3189744 3330468 4440624 4718163 6290884 6379488 6660936 8881248 9436326 12581768 13321872 14154489 18872652 25163536 26643744 28308978 37745304 50327072 56617956 75490608 113235912 150981216 226471824 452943648