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4457063936 = 29133121601
BaseRepresentation
bin1000010011010100…
…10110011000000000
3102111121202022022002
410021222112120000
533112002021221
62014134203132
7215310263333
oct41152263000
912447668262
104457063936
111987995116
12a447b34a8
13560522750
14303d3061a
151b145b80b
hex109a96600

4457063936 has 80 divisors (see below), whose sum is σ = 9900283008. Its totient is φ = 1990656000.

The previous prime is 4457063929. The next prime is 4457063939. The reversal of 4457063936 is 6393607544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457063939) 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, 195536 + ... + 217136.

Almost surely, 24457063936 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 4457063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950141504).

4457063936 is an abundant number, since it is smaller than the sum of its proper divisors (5443219072).

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

4457063936 is a wasteful number, since it uses less digits than its factorization.

4457063936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21663 (or 21647 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 47.

The square root of 4457063936 is about 66761.2457642905. The cubic root of 4457063936 is about 1645.6960295226.

The spelling of 4457063936 in words is "four billion, four hundred fifty-seven million, sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1612 1664 1984 3224 3328 3968 6448 6656 7936 12896 15872 21601 25792 43202 51584 86404 103168 172808 206336 280813 345616 561626 669631 691232 1123252 1339262 1382464 2246504 2678524 2764928 4493008 5357048 5529856 8705203 8986016 10714096 11059712 17410406 17972032 21428192 34820812 35944064 42856384 69641624 71888128 85712768 139283248 143776256 171425536 278566496 342851072 557132992 1114265984 2228531968 4457063936