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4373887968 = 253227156041
BaseRepresentation
bin1000001001011010…
…00011101111100000
3102021211020112022200
410010231003233200
532424203403333
62002003333200
7213250301652
oct40455035740
912254215280
104373887968
111944a4484a
12a20981200
1354921c8b8
142d6c7c6d2
151a8ecbc13
hex104b43be0

4373887968 has 72 divisors (see below), whose sum is σ = 12484364256. Its totient is φ = 1452556800.

The previous prime is 4373887961. The next prime is 4373888003. The reversal of 4373887968 is 8697883734.

4373887968 is a `hidden beast` number, since 437 + 38 + 87 + 96 + 8 = 666.

4373887968 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4373887961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50028 + ... + 106068.

It is an arithmetic number, because the mean of its divisors is an integer number (173393948).

Almost surely, 24373887968 is an apocalyptic number.

4373887968 is a gapful number since it is divisible by the number (48) 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 4373887968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242182128).

4373887968 is an abundant number, since it is smaller than the sum of its proper divisors (8110476288).

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

4373887968 is a wasteful number, since it uses less digits than its factorization.

4373887968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56328 (or 56317 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 4373887968 is about 66135.3760706023. The cubic root of 4373887968 is about 1635.3945707648.

The spelling of 4373887968 in words is "four billion, three hundred seventy-three million, eight hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 271 288 542 813 1084 1626 2168 2439 3252 4336 4878 6504 8672 9756 13008 19512 26016 39024 56041 78048 112082 168123 224164 336246 448328 504369 672492 896656 1008738 1344984 1793312 2017476 2689968 4034952 5379936 8069904 15187111 16139808 30374222 45561333 60748444 91122666 121496888 136683999 182245332 242993776 273367998 364490664 485987552 546735996 728981328 1093471992 1457962656 2186943984 4373887968