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2023079552 = 27132395087
BaseRepresentation
bin111100010010101…
…1011111010000000
312012222210002102022
41320211123322000
513120402021202
6532425341012
7101063615054
oct17045337200
95188702368
102023079552
11948a8067a
12485637768
132631983c0
14152985c64
15bc920ea2
hex7895be80

2023079552 has 64 divisors (see below), whose sum is σ = 4359398400. Its totient is φ = 929639424.

The previous prime is 2023079507. The next prime is 2023079593. The reversal of 2023079552 is 2559703202.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395153 + ... + 400239.

It is an arithmetic number, because the mean of its divisors is an integer number (68115600).

Almost surely, 22023079552 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 2023079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179699200).

2023079552 is an abundant number, since it is smaller than the sum of its proper divisors (2336318848).

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

2023079552 is a wasteful number, since it uses less digits than its factorization.

2023079552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 2023079552 is about 44978.6566273383. The cubic root of 2023079552 is about 1264.7489285967.

The spelling of 2023079552 in words is "two billion, twenty-three million, seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 239 416 478 832 956 1664 1912 3107 3824 5087 6214 7648 10174 12428 15296 20348 24856 30592 40696 49712 66131 81392 99424 132262 162784 198848 264524 325568 397696 529048 651136 1058096 1215793 2116192 2431586 4232384 4863172 8464768 9726344 15805309 19452688 31610618 38905376 63221236 77810752 126442472 155621504 252884944 505769888 1011539776 2023079552