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2676461088 = 25379914019
BaseRepresentation
bin1001111110000111…
…1000111000100000
320220112020022101110
42133201320320200
520440133223323
61121325503320
7123216354360
oct23741707040
96815208343
102676461088
111153879914
12628411b40
133386645b2
141b56669a0
15109e85793
hex9f878e20

2676461088 has 96 divisors (see below), whose sum is σ = 8039485440. Its totient is φ = 763741440.

The previous prime is 2676461059. The next prime is 2676461089. The reversal of 2676461088 is 8801646762.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2676461089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663943 + ... + 667961.

It is an arithmetic number, because the mean of its divisors is an integer number (83744640).

Almost surely, 22676461088 is an apocalyptic number.

2676461088 is a gapful number since it is divisible by the number (28) 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 2676461088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019742720).

2676461088 is an abundant number, since it is smaller than the sum of its proper divisors (5363024352).

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

2676461088 is a wasteful number, since it uses less digits than its factorization.

2676461088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2676461088 is about 51734.5251065476. The cubic root of 2676461088 is about 1388.4182424645.

The spelling of 2676461088 in words is "two billion, six hundred seventy-six million, four hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 991 1982 2973 3964 4019 5946 6937 7928 8038 11892 12057 13874 15856 16076 20811 23784 24114 27748 28133 31712 32152 41622 47568 48228 55496 56266 64304 83244 84399 95136 96456 110992 112532 128608 166488 168798 192912 221984 225064 332976 337596 385824 450128 665952 675192 900256 1350384 2700768 3982829 7965658 11948487 15931316 23896974 27879803 31862632 47793948 55759606 63725264 83639409 95587896 111519212 127450528 167278818 191175792 223038424 334557636 382351584 446076848 669115272 892153696 1338230544 2676461088