Search a number
-
+
2928481900 = 2252236120873
BaseRepresentation
bin1010111010001101…
…0001011001101100
321120002110021221121
42232203101121230
521444142410100
61202331310324
7132366454051
oct25643213154
97502407847
102928481900
111273062883
126988ab3a4
13378933a36
141dad0b028
1512216851a
hexae8d166c

2928481900 has 72 divisors (see below), whose sum is σ = 6740131104. Its totient is φ = 1102041600.

The previous prime is 2928481861. The next prime is 2928481921. The reversal of 2928481900 is 91848292.

2928481900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29284819002 = 17152012477255220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129864 + ... + 150736.

It is an arithmetic number, because the mean of its divisors is an integer number (93612932).

Almost surely, 22928481900 is an apocalyptic number.

2928481900 is a gapful number since it is divisible by the number (20) 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 2928481900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370065552).

2928481900 is an abundant number, since it is smaller than the sum of its proper divisors (3811649204).

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

2928481900 is a wasteful number, since it uses less digits than its factorization.

2928481900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20971 (or 20964 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 2928481900 is about 54115.4497348031. The cubic root of 2928481900 is about 1430.6964999968.

The spelling of 2928481900 in words is "two billion, nine hundred twenty-eight million, four hundred eighty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 61 92 100 115 122 230 244 305 460 575 610 1150 1220 1403 1525 2300 2806 3050 5612 6100 7015 14030 20873 28060 35075 41746 70150 83492 104365 140300 208730 417460 480079 521825 960158 1043650 1273253 1920316 2087300 2400395 2546506 4800790 5093012 6366265 9601580 12001975 12732530 24003950 25465060 29284819 31831325 48007900 58569638 63662650 117139276 127325300 146424095 292848190 585696380 732120475 1464240950 2928481900