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2823115248 = 243322132953
BaseRepresentation
bin1010100001000101…
…0101000111110000
321021202012010002000
42220101111013300
521240204141443
61144045054000
7126650040462
oct25021250760
97252163060
102823115248
1112196362a8
12669557300
1335cb615c5
141cad20132
15117ca38d3
hexa84551f0

2823115248 has 80 divisors (see below), whose sum is σ = 8109793440. Its totient is φ = 940294656.

The previous prime is 2823115231. The next prime is 2823115303. The reversal of 2823115248 is 8425113282.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 954540 + ... + 957492.

It is an arithmetic number, because the mean of its divisors is an integer number (101372418).

Almost surely, 22823115248 is an apocalyptic number.

It is an amenable number.

2823115248 is an abundant number, since it is smaller than the sum of its proper divisors (5286678192).

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

2823115248 is a wasteful number, since it uses less digits than its factorization.

2823115248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5171 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2823115248 is about 53132.9958500365. The cubic root of 2823115248 is about 1413.3276947878.

The spelling of 2823115248 in words is "two billion, eight hundred twenty-three million, one hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2213 2953 4426 5906 6639 8852 8859 11812 13278 17704 17718 19917 23624 26556 26577 35408 35436 39834 47248 53112 53154 59751 70872 79668 79731 106224 106308 119502 141744 159336 159462 212616 239004 318672 318924 425232 478008 637848 956016 1275696 6534989 13069978 19604967 26139956 39209934 52279912 58814901 78419868 104559824 117629802 156839736 176444703 235259604 313679472 352889406 470519208 705778812 941038416 1411557624 2823115248