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454568128 = 2673171461
BaseRepresentation
bin11011000110000…
…010100011000000
31011200100110020121
4123012002203000
51412332140003
6113034550024
714156523340
oct3306024300
91150313217
10454568128
11213656843
12108298314
1373239031
144452ad20
1529d91cbd
hex1b1828c0

454568128 has 112 divisors (see below), whose sum is σ = 1081479168. Its totient is φ = 185472000.

The previous prime is 454568089. The next prime is 454568129. The reversal of 454568128 is 821865454.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (454568129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985818 + ... + 986278.

It is an arithmetic number, because the mean of its divisors is an integer number (9656064).

Almost surely, 2454568128 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 454568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540739584).

454568128 is an abundant number, since it is smaller than the sum of its proper divisors (626911040).

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

454568128 is a wasteful number, since it uses less digits than its factorization.

454568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its digits is 307200, while the sum is 43.

The square root of 454568128 is about 21320.6033685729. The cubic root of 454568128 is about 768.8937439536.

The spelling of 454568128 in words is "four hundred fifty-four million, five hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 142 217 224 248 284 434 448 461 496 497 568 868 922 992 994 1136 1736 1844 1984 1988 2201 2272 3227 3472 3688 3976 4402 4544 6454 6944 7376 7952 8804 12908 13888 14291 14752 15407 15904 17608 25816 28582 29504 30814 31808 32731 35216 51632 57164 61628 65462 70432 100037 103264 114328 123256 130924 140864 200074 206528 228656 229117 246512 261848 400148 457312 458234 493024 523696 800296 914624 916468 986048 1014661 1047392 1600592 1832936 2029322 2094784 3201184 3665872 4058644 6402368 7102627 7331744 8117288 14205254 14663488 16234576 28410508 32469152 56821016 64938304 113642032 227284064 454568128