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4457901056 = 21075691093
BaseRepresentation
bin1000010011011011…
…00010110000000000
3102111200022211121112
410021231202300000
533112210313211
62014204142452
7215320351040
oct41155426000
912450284545
104457901056
111988407054
12a44b37a28
1356075679b
143040ab720
151b157488b
hex109b62c00

4457901056 has 88 divisors (see below), whose sum is σ = 10211746080. Its totient is φ = 1905426432.

The previous prime is 4457901047. The next prime is 4457901059. The reversal of 4457901056 is 6501097544.

It is not an unprimeable number, because it can be changed into a prime (4457901059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4078046 + ... + 4079138.

Almost surely, 24457901056 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 4457901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105873040).

4457901056 is an abundant number, since it is smaller than the sum of its proper divisors (5753845024).

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

4457901056 is a wasteful number, since it uses less digits than its factorization.

4457901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 4457901056 is about 66767.5149754729. The cubic root of 4457901056 is about 1645.7990539082.

The spelling of 4457901056 in words is "four billion, four hundred fifty-seven million, nine hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 569 896 1024 1093 1138 1792 2186 2276 3584 3983 4372 4552 7168 7651 7966 8744 9104 15302 15932 17488 18208 30604 31864 34976 36416 61208 63728 69952 72832 122416 127456 139904 145664 244832 254912 279808 291328 489664 509824 559616 582656 621917 979328 1019648 1119232 1243834 1958656 2039296 2487668 3917312 4078592 4353419 4975336 7834624 8706838 9950672 17413676 19901344 34827352 39802688 69654704 79605376 139309408 159210752 278618816 318421504 557237632 636843008 1114475264 2228950528 4457901056