Search a number
-
+
4269311928 = 233374760077
BaseRepresentation
bin1111111001111000…
…1000011110111000
3102000112110111222000
43332132020132320
532220420440203
61543350101000
7210540360360
oct37636103670
912015414860
104269311928
1118a0a08272
129b194a760
1353066629b
142c70199a0
1519ec214a3
hexfe7887b8

4269311928 has 128 divisors (see below), whose sum is σ = 13841971200. Its totient is φ = 1193830272.

The previous prime is 4269311927. The next prime is 4269311941. The reversal of 4269311928 is 8291139624.

4269311928 is a `hidden beast` number, since 426 + 9 + 31 + 192 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4269311927) 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, 41026 + ... + 101102.

It is an arithmetic number, because the mean of its divisors is an integer number (108140400).

Almost surely, 24269311928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4269311928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920985600).

4269311928 is an abundant number, since it is smaller than the sum of its proper divisors (9572659272).

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

4269311928 is a wasteful number, since it uses less digits than its factorization.

4269311928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60146 (or 60136 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4269311928 is about 65339.9719008204. The cubic root of 4269311928 is about 1622.2556506932.

The spelling of 4269311928 in words is "four billion, two hundred sixty-nine million, three hundred eleven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1512 1692 1974 2538 2632 2961 3384 3948 5076 5922 7896 8883 10152 11844 17766 23688 35532 60077 71064 120154 180231 240308 360462 420539 480616 540693 720924 841078 1081386 1261617 1441848 1622079 1682156 2162772 2523234 2823619 3244158 3364312 3784851 4325544 5046468 5647238 6488316 7569702 8470857 10092936 11294476 11354553 12976632 15139404 16941714 19765333 22588952 22709106 25412571 30278808 33883428 39530666 45418212 50825142 59295999 67766856 76237713 79061332 90836424 101650284 118591998 152475426 158122664 177887997 203300568 237183996 304950852 355775994 474367992 533663991 609901704 711551988 1067327982 1423103976 2134655964 4269311928