Search a number
-
+
1004909022 = 2321321120353
BaseRepresentation
bin111011111001011…
…011000111011110
32121000220200000200
4323321123013132
54024224042042
6243414404330
733621404625
oct7371330736
92530820020
101004909022
11476277027
122406606a6
13130268730
14976686bc
155d350c4c
hex3be5b1de

1004909022 has 48 divisors (see below), whose sum is σ = 2356016208. Its totient is φ = 307722240.

The previous prime is 1004908999. The next prime is 1004909053. The reversal of 1004909022 is 2209094001.

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, 39198 + ... + 59550.

It is an arithmetic number, because the mean of its divisors is an integer number (49083671).

Almost surely, 21004909022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004909022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178008104).

1004909022 is an abundant number, since it is smaller than the sum of its proper divisors (1351107186).

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

1004909022 is a wasteful number, since it uses less digits than its factorization.

1004909022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20585 (or 20582 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1004909022 is about 31700.3000301259. The cubic root of 1004909022 is about 1001.6336703345.

The spelling of 1004909022 in words is "one billion, four million, nine hundred nine thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 211 234 422 633 1266 1899 2743 3798 5486 8229 16458 20353 24687 40706 49374 61059 122118 183177 264589 366354 529178 793767 1587534 2381301 4294483 4762602 8588966 12883449 25766898 38650347 55828279 77300694 111656558 167484837 334969674 502454511 1004909022