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1828971312 = 243719286493
BaseRepresentation
bin110110100000011…
…1110001100110000
311201110112100222020
41231000332030300
512221204040222
6501253111440
763215666610
oct15500761460
94643470866
101828971312
11859452243
12430628580
13231bc4a5c
14134c98a40
15aa87c65c
hex6d03e330

1828971312 has 80 divisors (see below), whose sum is σ = 5684040960. Its totient is φ = 495058176.

The previous prime is 1828971307. The next prime is 1828971379. The reversal of 1828971312 is 2131798281.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136863 + ... + 149630.

It is an arithmetic number, because the mean of its divisors is an integer number (71050512).

Almost surely, 21828971312 is an apocalyptic number.

1828971312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1828971312 is an abundant number, since it is smaller than the sum of its proper divisors (3855069648).

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

1828971312 is a wasteful number, since it uses less digits than its factorization.

1828971312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286530 (or 286524 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 1828971312 is about 42766.4741590887. The cubic root of 1828971312 is about 1222.9319680724.

The spelling of 1828971312 in words is "one billion, eight hundred twenty-eight million, nine hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 286493 572986 859479 1145972 1718958 2005451 2291944 3437916 4010902 4583888 5443367 6016353 6875832 8021804 10886734 12032706 13751664 16043608 16330101 21773468 24065412 32087216 32660202 38103569 43546936 48130824 65320404 76207138 87093872 96261648 114310707 130640808 152414276 228621414 261281616 304828552 457242828 609657104 914485656 1828971312