Search a number
-
+
4663001952 = 253371136823
BaseRepresentation
bin1000101011110111…
…11100001101100000
3110000222021001011000
410111323330031200
534022212030302
62050412152000
7223360601610
oct42573741540
913028231130
104663001952
111a83163424
12aa1768600
135940a876b
1432341aa40
151c458a31c
hex115efc360

4663001952 has 192 divisors, whose sum is σ = 15683189760. Its totient is φ = 1320302592.

The previous prime is 4663001951. The next prime is 4663001969. The reversal of 4663001952 is 2591003664.

It is a happy number.

4663001952 is a `hidden beast` number, since 4 + 6 + 630 + 0 + 19 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663001951) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 680013 + ... + 686835.

It is an arithmetic number, because the mean of its divisors is an integer number (81683280).

Almost surely, 24663001952 is an apocalyptic number.

4663001952 is a gapful number since it is divisible by the number (42) 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 4663001952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841594880).

4663001952 is an abundant number, since it is smaller than the sum of its proper divisors (11020187808).

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

4663001952 is a wasteful number, since it uses less digits than its factorization.

4663001952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4663001952 is about 68286.1768735079. The cubic root of 4663001952 is about 1670.6617612310.

The spelling of 4663001952 in words is "four billion, six hundred sixty-three million, one thousand, nine hundred fifty-two".