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2023471728 = 2432193831931
BaseRepresentation
bin111100010011011…
…1011101001110000
312020000112000101100
41320212323221300
513121002043403
6532442004400
7101100140325
oct17046735160
95200460340
102023471728
11949219293
124857a6700
132632a4a65
14152a48b4c
15bc99c2a3
hex789bba70

2023471728 has 120 divisors (see below), whose sum is σ = 5979617280. Its totient is φ = 636992640.

The previous prime is 2023471663. The next prime is 2023471739. The reversal of 2023471728 is 8271743202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2023471692 and 2023471701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046923 + ... + 1048853.

It is an arithmetic number, because the mean of its divisors is an integer number (49830144).

Almost surely, 22023471728 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 2023471728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989808640).

2023471728 is an abundant number, since it is smaller than the sum of its proper divisors (3956145552).

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

2023471728 is a wasteful number, since it uses less digits than its factorization.

2023471728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2023471728 is about 44983.0159949286. The cubic root of 2023471728 is about 1264.8306475992.

The spelling of 2023471728 in words is "two billion, twenty-three million, four hundred seventy-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 383 456 684 766 912 1149 1368 1532 1931 2298 2736 3064 3447 3862 4596 5793 6128 6894 7277 7724 9192 11586 13788 14554 15448 17379 18384 21831 23172 27576 29108 30896 34758 36689 43662 46344 55152 58216 65493 69516 73378 87324 92688 110067 116432 130986 139032 146756 174648 220134 261972 278064 293512 330201 349296 440268 523944 587024 660402 739573 880536 1047888 1320804 1479146 1761072 2218719 2641608 2958292 4437438 5283216 5916584 6656157 8874876 11833168 13312314 14051887 17749752 26624628 28103774 35499504 42155661 53249256 56207548 84311322 106498512 112415096 126466983 168622644 224830192 252933966 337245288 505867932 674490576 1011735864 2023471728