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4327025920 = 2857796113
BaseRepresentation
bin1000000011110100…
…10010110100000000
3102011120001200200021
410001322102310000
532330204312140
61553211103224
7212141053630
oct40172226400
912146050607
104327025920
111920547688
12a09141b14
1353c5c2889
142d09606c0
151a4d21b4a
hex101e92d00

4327025920 has 144 divisors (see below), whose sum is σ = 11997135360. Its totient is φ = 1464532992.

The previous prime is 4327025893. The next prime is 4327025953. The reversal of 4327025920 is 295207234.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704784 + ... + 710896.

It is an arithmetic number, because the mean of its divisors is an integer number (83313440).

Almost surely, 24327025920 is an apocalyptic number.

4327025920 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 4327025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998567680).

4327025920 is an abundant number, since it is smaller than the sum of its proper divisors (7670109440).

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

4327025920 is an equidigital number, since it uses as much as digits as its factorization.

4327025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 4327025920 is about 65780.1331710418. The cubic root of 4327025920 is about 1629.5330214090.

The spelling of 4327025920 in words is "four billion, three hundred twenty-seven million, twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 256 280 316 320 395 448 553 560 632 640 790 896 1106 1120 1264 1280 1580 1792 2212 2240 2528 2765 3160 4424 4480 5056 5530 6113 6320 8848 8960 10112 11060 12226 12640 17696 20224 22120 24452 25280 30565 35392 42791 44240 48904 50560 61130 70784 85582 88480 97808 101120 122260 141568 171164 176960 195616 213955 244520 342328 353920 391232 427910 482927 489040 684656 707840 782464 855820 965854 978080 1369312 1564928 1711640 1931708 1956160 2414635 2738624 3380489 3423280 3863416 3912320 4829270 5477248 6760978 6846560 7726832 7824640 9658540 10954496 13521956 13693120 15453664 16902445 19317080 27043912 27386240 30907328 33804890 38634160 54087824 54772480 61814656 67609780 77268320 108175648 123629312 135219560 154536640 216351296 270439120 309073280 432702592 540878240 618146560 865405184 1081756480 2163512960 4327025920