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4449020928 = 210311211969
BaseRepresentation
bin1000010010010111…
…01010110000000000
3102111001121200100220
410021023222300000
533102422132203
62013245543040
7215152024332
oct41113526000
912431550326
104449020928
1119833a1300
12a41b74a80
1355b967881
14302c39452
151b08bd653
hex1092eac00

4449020928 has 132 divisors (see below), whose sum is σ = 13035377880. Its totient is φ = 1348075520.

The previous prime is 4449020861. The next prime is 4449020969. The reversal of 4449020928 is 8290209444.

It is a tau number, because it is divible by the number of its divisors (132).

It is a self number, because there is not a number n which added to its sum of digits gives 4449020928.

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 11 ways as a sum of consecutive naturals, for example, 365728 + ... + 377696.

Almost surely, 24449020928 is an apocalyptic number.

4449020928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4449020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517688940).

4449020928 is an abundant number, since it is smaller than the sum of its proper divisors (8586356952).

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

4449020928 is a wasteful number, since it uses less digits than its factorization.

4449020928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 11985 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4449020928 is about 66700.9814620445. The cubic root of 4449020928 is about 1644.7055182497.

The spelling of 4449020928 in words is "four billion, four hundred forty-nine million, twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2112 2816 2904 3072 3872 4224 5632 5808 7744 8448 11264 11616 11969 15488 16896 23232 23938 30976 33792 35907 46464 47876 61952 71814 92928 95752 123904 131659 143628 185856 191504 263318 287256 371712 383008 394977 526636 574512 766016 789954 1053272 1149024 1448249 1532032 1579908 2106544 2298048 2896498 3064064 3159816 4213088 4344747 4596096 5792996 6128128 6319632 8426176 8689494 9192192 11585992 12256256 12639264 16852352 17378988 18384384 23171984 25278528 33704704 34757976 36768768 46343968 50557056 67409408 69515952 92687936 101114112 134818816 139031904 185375872 202228224 278063808 370751744 404456448 556127616 741503488 1112255232 1483006976 2224510464 4449020928