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1099441408 = 28131719433
BaseRepresentation
bin100000110001000…
…0010010100000000
32211121210102002011
41001202002110000
54222424111113
6301032502304
736150045352
oct10142022400
92747712064
101099441408
1151467366a
1226824a994
13146a16660
14a60350d2
15667c563d
hex41882500

1099441408 has 72 divisors (see below), whose sum is σ = 2502555048. Its totient is φ = 477560832.

The previous prime is 1099441397. The next prime is 1099441411. The reversal of 1099441408 is 8041449901.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 1088472064 = 3312^2 + 32992^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46860 + ... + 66292.

It is an arithmetic number, because the mean of its divisors is an integer number (34757709).

Almost surely, 21099441408 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 1099441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251277524).

1099441408 is an abundant number, since it is smaller than the sum of its proper divisors (1403113640).

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

1099441408 is a wasteful number, since it uses less digits than its factorization.

1099441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479 (or 19465 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 1099441408 is about 33157.8257429524. The cubic root of 1099441408 is about 1032.1053515027.

The spelling of 1099441408 in words is "one billion, ninety-nine million, four hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 544 832 884 1088 1664 1768 2176 3328 3536 4352 7072 14144 19433 28288 38866 56576 77732 155464 252629 310928 330361 505258 621856 660722 1010516 1243712 1321444 2021032 2487424 2642888 4042064 4294693 4974848 5285776 8084128 8589386 10571552 16168256 17178772 21143104 32336512 34357544 42286208 64673024 68715088 84572416 137430176 274860352 549720704 1099441408