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4450272552 = 23321121972593
BaseRepresentation
bin1000010010100000…
…11100010100101000
3102111010222021021100
410021100130110220
533103232210202
62013332441400
7215165456355
oct41120342450
912433867240
104450272552
111984076700
12a42479260
1355bcb548b
1430308362c
151b0a6941c
hex10941c528

4450272552 has 144 divisors (see below), whose sum is σ = 13320527220. Its totient is φ = 1341204480.

The previous prime is 4450272539. The next prime is 4450272557. The reversal of 4450272552 is 2552720544.

It can be written as a sum of positive squares in 2 ways, for example, as 3857155236 + 593117316 = 62106^2 + 24354^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4450272557) 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 35 ways as a sum of consecutive naturals, for example, 1714968 + ... + 1717560.

Almost surely, 24450272552 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 4450272552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660263610).

4450272552 is an abundant number, since it is smaller than the sum of its proper divisors (8870254668).

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

4450272552 is a wasteful number, since it uses less digits than its factorization.

4450272552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 4450272552 is about 66710.3631529615. The cubic root of 4450272552 is about 1644.8597364415.

The spelling of 4450272552 in words is "four billion, four hundred fifty million, two hundred seventy-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 197 198 242 264 363 394 396 484 591 726 788 792 968 1089 1182 1452 1576 1773 2167 2178 2364 2593 2904 3546 4334 4356 4728 5186 6501 7092 7779 8668 8712 10372 13002 14184 15558 17336 19503 20744 23337 23837 26004 28523 31116 39006 46674 47674 52008 57046 62232 71511 78012 85569 93348 95348 114092 143022 156024 171138 186696 190696 214533 228184 256707 286044 313753 342276 429066 510821 513414 572088 627506 684552 858132 941259 1021642 1026828 1255012 1532463 1716264 1882518 2043284 2053656 2510024 2823777 3064926 3765036 4086568 4597389 5619031 5647554 6129852 7530072 9194778 11238062 11295108 12259704 16857093 18389556 22476124 22590216 33714186 36779112 44952248 50571279 61809341 67428372 101142558 123618682 134856744 185428023 202285116 247237364 370856046 404570232 494474728 556284069 741712092 1112568138 1483424184 2225136276 4450272552