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4445350272 = 273211231891
BaseRepresentation
bin1000010001111011…
…01010100110000000
3102110210201012011200
410020331222212000
533101002202042
62013035141200
7215105565606
oct41075524600
912423635150
104445350272
111981314500
12a408a4800
1355ac80b9c
14302561876
151b03e5c4c
hex108f6a980

4445350272 has 144 divisors (see below), whose sum is σ = 14061023340. Its totient is φ = 1347033600.

The previous prime is 4445350267. The next prime is 4445350313. The reversal of 4445350272 is 2720535444.

4445350272 is a `hidden beast` number, since 44 + 45 + 3 + 502 + 72 = 666.

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

It is a super-2 number, since 2×44453502722 = 39522278081540947968, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123447 + ... + 155337.

Almost surely, 24445350272 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 4445350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030511670).

4445350272 is an abundant number, since it is smaller than the sum of its proper divisors (9615673068).

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

4445350272 is a wasteful number, since it uses less digits than its factorization.

4445350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31933 (or 31907 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 4445350272 is about 66673.4600272102. The cubic root of 4445350272 is about 1644.2530734421.

The spelling of 4445350272 in words is "four billion, four hundred forty-five million, three hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 31891 34848 46464 63782 69696 95673 127564 139392 191346 255128 287019 350801 382692 510256 574038 701602 765384 1020512 1052403 1148076 1403204 1530768 2041024 2104806 2296152 2806408 3061536 3157209 3858811 4082048 4209612 4592304 5612816 6123072 6314418 7717622 8419224 9184608 11225632 11576433 12246144 12628836 15435244 16838448 18369216 22451264 23152866 25257672 30870488 33676896 34729299 36738432 44902528 46305732 50515344 61740976 67353792 69458598 92611464 101030688 123481952 134707584 138917196 185222928 202061376 246963904 277834392 370445856 404122752 493927808 555668784 740891712 1111337568 1481783424 2222675136 4445350272