Search a number
-
+
4461934896 = 2437294397
BaseRepresentation
bin1000010011111001…
…11011100100110000
3102111221220210000000
410021330323210300
533114223404041
62014430430000
7215366551356
oct41174734460
912457823000
104461934896
11198a711801
12a46362300
13561539883
1430483b7d6
151b1abebb6
hex109f3b930

4461934896 has 160 divisors (see below), whose sum is σ = 13415659200. Its totient is φ = 1435698432.

The previous prime is 4461934871. The next prime is 4461934909. The reversal of 4461934896 is 6984391644.

It is a happy number.

4461934896 is a `hidden beast` number, since 4 + 461 + 93 + 4 + 8 + 96 = 666.

It is a super-2 number, since 2×44619348962 = 39817726032285061632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012570 + ... + 1016966.

It is an arithmetic number, because the mean of its divisors is an integer number (83847870).

Almost surely, 24461934896 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 4461934896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707829600).

4461934896 is an abundant number, since it is smaller than the sum of its proper divisors (8953724304).

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

4461934896 is an equidigital number, since it uses as much as digits as its factorization.

4461934896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4431 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 4461934896 is about 66797.7162483868. The cubic root of 4461934896 is about 1646.2953179964.

The spelling of 4461934896 in words is "four billion, four hundred sixty-one million, nine hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 648 696 729 783 972 1044 1296 1392 1458 1566 1944 2088 2187 2349 2916 3132 3888 4176 4374 4397 4698 5832 6264 7047 8748 8794 9396 11664 12528 13191 14094 17496 17588 18792 21141 26382 28188 34992 35176 37584 39573 42282 52764 56376 63423 70352 79146 84564 105528 112752 118719 126846 127513 158292 169128 211056 237438 253692 255026 316584 338256 356157 382539 474876 507384 510052 633168 712314 765078 949752 1014768 1020104 1068471 1147617 1424628 1530156 1899504 2040208 2136942 2295234 2849256 3060312 3205413 3442851 4273884 4590468 5698512 6120624 6410826 6885702 8547768 9180936 9616239 10328553 12821652 13771404 17095536 18361872 19232478 20657106 25643304 27542808 30985659 38464956 41314212 51286608 55085616 61971318 76929912 82628424 92956977 123942636 153859824 165256848 185913954 247885272 278870931 371827908 495770544 557741862 743655816 1115483724 1487311632 2230967448 4461934896