Search a number
-
+
4661301152 = 254113725933
BaseRepresentation
bin1000101011101010…
…11100111110100000
3110000212001122002102
410111311130332200
534021243114102
62050311505532
7223340256164
oct42565347640
913025048072
104661301152
111a82201602
12aa10882a8
13593931581
143230d6ca4
151c4351402
hex115d5cfa0

4661301152 has 48 divisors (see below), whose sum is σ = 9469748232. Its totient is φ = 2257121280.

The previous prime is 4661301137. The next prime is 4661301221. The reversal of 4661301152 is 2511031664.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2357685136 + 2303616016 = 48556^2 + 47996^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166778 + ... + 192710.

Almost surely, 24661301152 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 4661301152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734874116).

4661301152 is an abundant number, since it is smaller than the sum of its proper divisors (4808447080).

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

4661301152 is a wasteful number, since it uses less digits than its factorization.

4661301152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26121 (or 26113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4661301152 is about 68273.7222655979. The cubic root of 4661301152 is about 1670.4586154827.

The spelling of 4661301152 in words is "four billion, six hundred sixty-one million, three hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 137 164 274 328 548 656 1096 1312 2192 4384 5617 11234 22468 25933 44936 51866 89872 103732 179744 207464 414928 829856 1063253 2126506 3552821 4253012 7105642 8506024 14211284 17012048 28422568 34024096 56845136 113690272 145665661 291331322 582662644 1165325288 2330650576 4661301152