Search a number
-
+
4808149632 = 273511132347
BaseRepresentation
bin1000111101001011…
…01000101010000000
3110102002101022100000
410132211220222000
534321341242012
62113035200000
7230102411646
oct43645505200
913362338300
104808149632
112048090a90
12b222a6000
135b8198b70
14338801196
151d21abddc
hex11e968a80

4808149632 has 768 divisors, whose sum is σ = 17964011520. Its totient is φ = 1259089920.

The previous prime is 4808149613. The next prime is 4808149699. The reversal of 4808149632 is 2369418084.

It is a happy number.

4808149632 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 1 + 4 + 9 + 632 = 666.

It is a super-3 number, since 3×48081496323 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102301033 + ... + 102301079.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 24808149632 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 4808149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982005760).

4808149632 is an abundant number, since it is smaller than the sum of its proper divisors (13155861888).

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

4808149632 is a wasteful number, since it uses less digits than its factorization.

4808149632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4808149632 is about 69340.8222622143. The cubic root of 4808149632 is about 1687.8194666279.

The spelling of 4808149632 in words is "four billion, eight hundred eight million, one hundred forty-nine thousand, six hundred thirty-two".