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2044900 = 2252112132
BaseRepresentation
bin111110011001111100100
310211220002001
413303033210
51010414100
6111455044
723244544
oct7631744
93756061
102044900
111177400
12827484
13567a00
143b3324
152a5d6a
hex1f33e4

2044900 has 81 divisors (see below), whose sum is σ = 5281563. Its totient is φ = 686400.

The previous prime is 2044883. The next prime is 2044901. The reversal of 2044900 is 94402.

2044900 = T120 + T121 + ... + T240.

The square root of 2044900 is 1430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 1517824 = 726^2 + 1232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2044901) 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 26 ways as a sum of consecutive naturals, for example, 157294 + ... + 157306.

22044900 is an apocalyptic number.

2044900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2044900 is the 1430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044900

2044900 is an abundant number, since it is smaller than the sum of its proper divisors (3236663).

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

2044900 is a wasteful number, since it uses less digits than its factorization.

2044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 2044900 is about 126.9279770188.

The spelling of 2044900 in words is "two million, forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 130 143 169 220 242 260 275 286 325 338 484 550 572 605 650 676 715 845 1100 1210 1300 1430 1573 1690 1859 2420 2860 3025 3146 3380 3575 3718 4225 6050 6292 7150 7436 7865 8450 9295 12100 14300 15730 16900 18590 20449 31460 37180 39325 40898 46475 78650 81796 92950 102245 157300 185900 204490 408980 511225 1022450 2044900