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1004442444 = 2236401859
BaseRepresentation
bin111011110111101…
…001001101001100
32121000000222000000
4323313221031030
54024114124234
6243400404300
733614422425
oct7367511514
92530028000
101004442444
11475a88525
12240476690
13130134255
149758664c
155d2ac899
hex3bde934c

1004442444 has 84 divisors (see below), whose sum is σ = 2645103720. Its totient is φ = 333590400.

The previous prime is 1004442401. The next prime is 1004442457. The reversal of 1004442444 is 4442444001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1168887 + ... + 1169745.

It is an arithmetic number, because the mean of its divisors is an integer number (31489330).

Almost surely, 21004442444 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 1004442444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322551860).

1004442444 is an abundant number, since it is smaller than the sum of its proper divisors (1640661276).

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

1004442444 is an equidigital number, since it uses as much as digits as its factorization.

1004442444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 1004442444 is about 31692.9399709147. The cubic root of 1004442444 is about 1001.4786272505.

Adding to 1004442444 its reverse (4442444001), we get a palindrome (5446886445).

The spelling of 1004442444 in words is "one billion, four million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 401 486 729 802 859 972 1203 1458 1604 1718 2406 2577 2916 3436 3609 4812 5154 7218 7731 10308 10827 14436 15462 21654 23193 30924 32481 43308 46386 64962 69579 92772 97443 129924 139158 194886 208737 278316 292329 344459 389772 417474 584658 626211 688918 834948 1033377 1169316 1252422 1377836 2066754 2504844 3100131 4133508 6200262 9300393 12400524 18600786 27901179 37201572 55802358 83703537 111604716 167407074 251110611 334814148 502221222 1004442444