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2044153000 = 235319271397
BaseRepresentation
bin111100111010111…
…0100110010101000
312021110102201202101
41321311310302220
513141300344000
6534501143144
7101441004511
oct17165646250
95243381671
102044153000
1195996444a
124906baab4
132676662b6
141556ada08
15be6d4e6a
hex79d74ca8

2044153000 has 128 divisors (see below), whose sum is σ = 5066380800. Its totient is φ = 769824000.

The previous prime is 2044152997. The next prime is 2044153009. The reversal of 2044153000 is 3514402.

It is a super-2 number, since 2×20441530002 = 8357122974818000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2044153009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5148802 + ... + 5149198.

It is an arithmetic number, because the mean of its divisors is an integer number (39581100).

Almost surely, 22044153000 is an apocalyptic number.

2044153000 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 2044153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533190400).

2044153000 is an abundant number, since it is smaller than the sum of its proper divisors (3022227800).

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

2044153000 is a wasteful number, since it uses less digits than its factorization.

2044153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2044153000 is about 45212.3102705447. The cubic root of 2044153000 is about 1269.1251958054.

Adding to 2044153000 its reverse (3514402), we get a palindrome (2047667402).

It can be divided in two parts, 20441 and 53000, that added together give a square (73441 = 2712).

The spelling of 2044153000 in words is "two billion, forty-four million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 271 380 397 475 500 542 760 794 950 1000 1084 1355 1588 1900 1985 2168 2375 2710 3176 3800 3970 4750 5149 5420 6775 7543 7940 9500 9925 10298 10840 13550 15086 15880 19000 19850 20596 25745 27100 30172 33875 37715 39700 41192 49625 51490 54200 60344 67750 75430 79400 99250 102980 107587 128725 135500 150860 188575 198500 205960 215174 257450 271000 301720 377150 397000 430348 514900 537935 643625 754300 860696 942875 1029800 1075870 1287250 1508600 1885750 2044153 2151740 2574500 2689675 3771500 4088306 4303480 5149000 5379350 7543000 8176612 10220765 10758700 13448375 16353224 20441530 21517400 26896750 40883060 51103825 53793500 81766120 102207650 107587000 204415300 255519125 408830600 511038250 1022076500 2044153000