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2044030400 = 26524131159
BaseRepresentation
bin111100111010101…
…0110110111000000
312021110012111120122
41321311112313000
513141232433100
6534454355412
7101436654206
oct17165266700
95243174518
102044030400
11959890325
1249065bb68
13267622559
1415567b076
15be6ad985
hex79d56dc0

2044030400 has 84 divisors (see below), whose sum is σ = 5152430640. Its totient is φ = 797644800.

The previous prime is 2044030381. The next prime is 2044030427. The reversal of 2044030400 is 40304402.

It is a super-2 number, since 2×20440304002 = 8356120552248320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50021 + ... + 81179.

It is an arithmetic number, because the mean of its divisors is an integer number (61338460).

Almost surely, 22044030400 is an apocalyptic number.

2044030400 is a gapful number since it is divisible by the number (20) 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 2044030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576215320).

2044030400 is an abundant number, since it is smaller than the sum of its proper divisors (3108400240).

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

2044030400 is a wasteful number, since it uses less digits than its factorization.

2044030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31222 (or 31207 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2044030400 is about 45210.9544247852. The cubic root of 2044030400 is about 1269.0998229721.

Adding to 2044030400 its reverse (40304402), we get a palindrome (2084334802).

The spelling of 2044030400 in words is "two billion, forty-four million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 160 164 200 205 320 328 400 410 656 800 820 1025 1312 1600 1640 2050 2624 3280 4100 6560 8200 13120 16400 31159 32800 62318 65600 124636 155795 249272 311590 498544 623180 778975 997088 1246360 1277519 1557950 1994176 2492720 2555038 3115900 4985440 5110076 6231800 6387595 9970880 10220152 12463600 12775190 20440304 24927200 25550380 31937975 40880608 49854400 51100760 63875950 81761216 102201520 127751900 204403040 255503800 408806080 511007600 1022015200 2044030400