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2044113400 = 2352721671249
BaseRepresentation
bin111100111010110…
…1011000111111000
312021110100201102201
41321311223013320
513141243112100
6534500235544
7101440451200
oct17165530770
95243321381
102044113400
1195993771a
1249069bbb4
13267651274
1415569d400
15be6c836a
hex79d6b1f8

2044113400 has 144 divisors (see below), whose sum is σ = 5566050000. Its totient is φ = 696084480.

The previous prime is 2044113353. The next prime is 2044113419. The reversal of 2044113400 is 43114402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1635976 + ... + 1637224.

It is an arithmetic number, because the mean of its divisors is an integer number (38653125).

Almost surely, 22044113400 is an apocalyptic number.

2044113400 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 2044113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783025000).

2044113400 is an abundant number, since it is smaller than the sum of its proper divisors (3521936600).

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

2044113400 is a wasteful number, since it uses less digits than its factorization.

2044113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2044113400 is about 45211.8723345981. The cubic root of 2044113400 is about 1269.1170004498.

Adding to 2044113400 its reverse (43114402), we get a palindrome (2087227802).

The spelling of 2044113400 in words is "two billion, forty-four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 167 175 196 200 245 280 334 350 392 490 668 700 835 980 1169 1225 1249 1336 1400 1670 1960 2338 2450 2498 3340 4175 4676 4900 4996 5845 6245 6680 8183 8350 8743 9352 9800 9992 11690 12490 16366 16700 17486 23380 24980 29225 31225 32732 33400 34972 40915 43715 46760 49960 58450 61201 62450 65464 69944 81830 87430 116900 122402 124900 163660 174860 204575 208583 218575 233800 244804 249800 306005 327320 349720 409150 417166 437150 489608 612010 818300 834332 874300 1042915 1224020 1460081 1530025 1636600 1668664 1748600 2085830 2448040 2920162 3060050 4171660 5214575 5840324 6120100 7300405 8343320 10220567 10429150 11680648 12240200 14600810 20441134 20858300 29201620 36502025 40882268 41716600 51102835 58403240 73004050 81764536 102205670 146008100 204411340 255514175 292016200 408822680 511028350 1022056700 2044113400