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4196093880 = 2335116075237
BaseRepresentation
bin1111101000011011…
…0100111110111000
3101211102200122200110
43322012310332320
532043200001010
61532212504320
7205661131566
oct37206647670
911742618613
104196093880
111863649490
1299131b0a0
1351b43bab4
142bb3daa36
151985ac120
hexfa1b4fb8

4196093880 has 128 divisors (see below), whose sum is σ = 13757921280. Its totient is φ = 1015365120.

The previous prime is 4196093879. The next prime is 4196093887. The reversal of 4196093880 is 883906914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4196093887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 798622 + ... + 803858.

It is an arithmetic number, because the mean of its divisors is an integer number (107483760).

Almost surely, 24196093880 is an apocalyptic number.

4196093880 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 4196093880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878960640).

4196093880 is an abundant number, since it is smaller than the sum of its proper divisors (9561827400).

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

4196093880 is a wasteful number, since it uses less digits than its factorization.

4196093880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 4196093880 is about 64777.2636038294. The cubic root of 4196093880 is about 1612.9283126381.

The spelling of 4196093880 in words is "four billion, one hundred ninety-six million, ninety-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 607 660 1214 1320 1821 2428 3035 3642 4856 5237 6070 6677 7284 9105 10474 12140 13354 14568 15711 18210 20031 20948 24280 26185 26708 31422 33385 36420 40062 41896 52370 53416 57607 62844 66770 72840 78555 80124 100155 104740 115214 125688 133540 157110 160248 172821 200310 209480 230428 267080 288035 314220 345642 400620 460856 576070 628440 691284 801240 864105 1152140 1382568 1728210 2304280 3178859 3456420 6357718 6912840 9536577 12715436 15894295 19073154 25430872 31788590 34967449 38146308 47682885 63577180 69934898 76292616 95365770 104902347 127154360 139869796 174837245 190731540 209804694 279739592 349674490 381463080 419609388 524511735 699348980 839218776 1049023470 1398697960 2098046940 4196093880