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4452001056 = 25352512281
BaseRepresentation
bin1000010010101110…
…00010010100100000
3102111021020002100000
410021113002110200
533104203013211
62013433500000
7215216245626
oct41127022440
912437202300
104452001056
111985047318
12a42b71600
1355c46c169
143033b3516
151b0cab656
hex1095c2520

4452001056 has 144 divisors (see below), whose sum is σ = 13187367648. Its totient is φ = 1477440000.

The previous prime is 4452000989. The next prime is 4452001153. The reversal of 4452001056 is 6501002544.

4452001056 is a `hidden beast` number, since 445 + 200 + 10 + 5 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1950636 + ... + 1952916.

It is an arithmetic number, because the mean of its divisors is an integer number (91578942).

Almost surely, 24452001056 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 4452001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593683824).

4452001056 is an abundant number, since it is smaller than the sum of its proper divisors (8735366592).

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

4452001056 is a wasteful number, since it uses less digits than its factorization.

4452001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4452001056 is about 66723.3171837252. The cubic root of 4452001056 is about 1645.0726656186.

The spelling of 4452001056 in words is "four billion, four hundred fifty-two million, one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 251 288 324 432 486 502 648 753 864 972 1004 1296 1506 1944 2008 2259 2281 2592 3012 3888 4016 4518 4562 6024 6777 6843 7776 8032 9036 9124 12048 13554 13686 18072 18248 20331 20529 24096 27108 27372 36144 36496 40662 41058 54216 54744 60993 61587 72288 72992 81324 82116 108432 109488 121986 123174 162648 164232 184761 216864 218976 243972 246348 325296 328464 369522 487944 492696 554283 572531 650592 656928 739044 975888 985392 1108566 1145062 1478088 1717593 1951776 1970784 2217132 2290124 2956176 3435186 4434264 4580248 5152779 5912352 6870372 8868528 9160496 10305558 13740744 15458337 17737056 18320992 20611116 27481488 30916674 41222232 46375011 54962976 61833348 82444464 92750022 123666696 139125033 164888928 185500044 247333392 278250066 371000088 494666784 556500132 742000176 1113000264 1484000352 2226000528 4452001056