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2044033040 = 24573163457
BaseRepresentation
bin111100111010101…
…0111100000010000
312021110012122012102
41321311113200100
513141233024130
6534454415532
7101436665000
oct17165274020
95243178172
102044033040
11959892305
124906615a8
1326762380a
1415567c000
15be6ae645
hex79d57810

2044033040 has 160 divisors (see below), whose sum is σ = 5588332800. Its totient is φ = 694987776.

The previous prime is 2044033037. The next prime is 2044033067. The reversal of 2044033040 is 403304402.

It is a happy number.

It is a super-2 number, since 2×20440330402 = 8356142137223283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4472492 + ... + 4472948.

It is an arithmetic number, because the mean of its divisors is an integer number (34927080).

Almost surely, 22044033040 is an apocalyptic number.

2044033040 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 2044033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794166400).

2044033040 is an abundant number, since it is smaller than the sum of its proper divisors (3544299760).

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

2044033040 is a wasteful number, since it uses less digits than its factorization.

2044033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2044033040 is about 45210.9836212397. The cubic root of 2044033040 is about 1269.1003693473.

Adding to 2044033040 its reverse (403304402), we get a palindrome (2447337442).

The spelling of 2044033040 in words is "two billion, forty-four million, thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 163 196 245 280 326 343 392 457 490 560 652 686 784 815 914 980 1141 1304 1372 1630 1715 1828 1960 2282 2285 2608 2744 3199 3260 3430 3656 3920 4564 4570 5488 5705 6398 6520 6860 7312 7987 9128 9140 11410 12796 13040 13720 15974 15995 18256 18280 22393 22820 25592 27440 31948 31990 36560 39935 44786 45640 51184 55909 63896 63980 74491 79870 89572 91280 111818 111965 127792 127960 148982 156751 159740 179144 223636 223930 255920 279545 297964 313502 319480 358288 372455 447272 447860 521437 559090 595928 627004 638960 744910 783755 894544 895720 1042874 1118180 1191856 1254008 1489820 1567510 1791440 2085748 2236360 2508016 2607185 2979640 3135020 3650059 4171496 4472720 5214370 5959280 6270040 7300118 8342992 10428740 12540080 14600236 18250295 20857480 25550413 29200472 36500590 41714960 51100826 58400944 73001180 102201652 127752065 146002360 204403304 255504130 292004720 408806608 511008260 1022016520 2044033040