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4450450004 = 22711135918839
BaseRepresentation
bin1000010010100010…
…00111101001010100
3102111011022021200122
410021101013221110
533103303400004
62013340331112
7215200125620
oct41121075124
912434267618
104450450004
111984187a60
12a42543a98
1355c048190
143030cc180
151b0aa1cbe
hex109447a54

4450450004 has 96 divisors (see below), whose sum is σ = 10634803200. Its totient is φ = 1573349760.

The previous prime is 4450450003. The next prime is 4450450013. The reversal of 4450450004 is 4000540544.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450450003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226817 + ... + 245655.

It is an arithmetic number, because the mean of its divisors is an integer number (110779200).

Almost surely, 24450450004 is an apocalyptic number.

4450450004 is a gapful number since it is divisible by the number (44) 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 4450450004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317401600).

4450450004 is an abundant number, since it is smaller than the sum of its proper divisors (6184353196).

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

4450450004 is a wasteful number, since it uses less digits than its factorization.

4450450004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18933 (or 18931 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4450450004 is about 66711.6931579465. The cubic root of 4450450004 is about 1644.8815987557.

Adding to 4450450004 its reverse (4000540544), we get a palindrome (8450990548).

It can be divided in two parts, 4450 and 450004, that added together give a palindrome (454454).

The spelling of 4450450004 in words is "four billion, four hundred fifty million, four hundred fifty thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 59 77 91 118 143 154 182 236 286 308 364 413 572 649 767 826 1001 1298 1534 1652 2002 2596 3068 4004 4543 5369 8437 9086 10738 16874 18172 18839 21476 33748 37678 59059 75356 118118 131873 207229 236236 244907 263746 414458 489814 527492 828916 979628 1111501 1450603 1714349 2223002 2693977 2901206 3428698 4446004 5387954 5802412 6857396 7780507 10775908 12226511 14449513 15561014 18857839 24453022 28899026 31122028 37715678 48906044 57798052 75431356 85585577 101146591 158944643 171171154 202293182 317889286 342342308 404586364 635778572 1112612501 2225225002 4450450004