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2904483132 = 22324112231609
BaseRepresentation
bin1010110100011110…
…1110010100111100
321111102022000211100
42231013232110330
521422021430012
61200113053100
7131655461565
oct25507562474
97442260740
102904483132
111260561191
12690857190
13373980495
141d7a6116c
1511eec78dc
hexad1ee53c

2904483132 has 72 divisors (see below), whose sum is σ = 7531786080. Its totient is φ = 943188480.

The previous prime is 2904483121. The next prime is 2904483143. The reversal of 2904483132 is 2313844092.

It is an interprime number because it is at equal distance from previous prime (2904483121) and next prime (2904483143).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1804344 + ... + 1805952.

It is an arithmetic number, because the mean of its divisors is an integer number (104608140).

Almost surely, 22904483132 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 2904483132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765893040).

2904483132 is an abundant number, since it is smaller than the sum of its proper divisors (4627302948).

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

2904483132 is a wasteful number, since it uses less digits than its factorization.

2904483132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2904483132 is about 53893.2568323719. The cubic root of 2904483132 is about 1426.7776124403. Note that the first 3 decimals are identical.

The spelling of 2904483132 in words is "two billion, nine hundred four million, four hundred eighty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1223 1476 1609 2446 3218 3669 4827 4892 6436 7338 9654 11007 14481 14676 19308 22014 28962 44028 50143 57924 65969 100286 131938 150429 197907 200572 263876 300858 395814 451287 593721 601716 791628 902574 1187442 1805148 1967807 2374884 3935614 5903421 7871228 11806842 17710263 23613684 35420526 70841052 80680087 161360174 242040261 322720348 484080522 726120783 968161044 1452241566 2904483132