[go: up one dir, main page]

Search a number
-
+
41194440 = 2333575449
BaseRepresentation
bin1001110100100…
…1001111001000
32212111220011000
42131021033020
541021210230
64030535000
71010101260
oct235111710
985456130
1041194440
1121286aa1
1211967460
1386c4411
1456847a0
15393ab60
hex27493c8

41194440 has 128 divisors (see below), whose sum is σ = 156960000. Its totient is φ = 9414144.

The previous prime is 41194423. The next prime is 41194441. The reversal of 41194440 is 4449114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41194441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4836 + ... + 10284.

It is an arithmetic number, because the mean of its divisors is an integer number (1226250).

Almost surely, 241194440 is an apocalyptic number.

41194440 is a gapful number since it is divisible by the number (40) 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 41194440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78480000).

41194440 is an abundant number, since it is smaller than the sum of its proper divisors (115765560).

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

41194440 is a wasteful number, since it uses less digits than its factorization.

41194440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41194440 is about 6418.2894917571. The cubic root of 41194440 is about 345.3659632692.

It can be divided in two parts, 41 and 194440, that added together give a 4-th power (194481 = 214).

The spelling of 41194440 in words is "forty-one million, one hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 5449 7560 10898 16347 21796 27245 32694 38143 43592 49041 54490 65388 76286 81735 98082 108980 114429 130776 147123 152572 163470 190715 196164 217960 228858 245205 294246 305144 326940 343287 381430 392328 457716 490410 572145 588492 653880 686574 735615 762860 915432 980820 1029861 1144290 1176984 1373148 1471230 1525720 1716435 1961640 2059722 2288580 2746296 2942460 3432870 4119444 4577160 5149305 5884920 6865740 8238888 10298610 13731480 20597220 41194440